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Answer:x= -12Step-by-step explanation:Simplifying4x + 10 = 2x + -14Reorder the terms:10 + 4x = 2x + -14Reorder the terms:10 + 4x = -14 + 2xSolving10 + 4x = -14 + 2xSolving for variable 'x'.Move all terms containing x to the left, all other terms to the right.Add '-2x' to each side of the equation.10 + 4x + -2x = -14 + 2x + -2xCombine like terms: 4x + -2x = 2x10 + 2x = -14 + 2x + -2xCombine like terms: 2x + -2x = 010 + 2x = -14 + 010 + 2x = -14Add '-10' to each side of the equation.10 + -10 + 2x = -14 + -10Combine like terms: 10 + -10 = 00 + 2x = -14 + -102x = -14 + -10Combine like terms: -14 + -10 = -242x = -24Divide each side by '2'.x = -12Simplifyingx = -12...