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Simplifying 2(51 + -4x) = 3x + 14 (51 * 2 + -4x * 2) = 3x + 14 (102 + -8x) = 3x + 14 Reorder the terms: 102 + -8x = 14 + 3x Solving 102 + -8x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 102 + -8x + -3x = 14 + 3x + -3x Combine like terms: -8x + -3x = -11x 102 + -11x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 102 + -11x = 14 + 0 102 + -11x = 14 Add '-102' to each side of the equation. 102 + -102 + -11x = 14 + -102 Combine like terms: 102 + -102 = 0 0 + -11x = 14 + -102 -11x = 14 + -102 Combine like terms: 14 + -102 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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