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Simplifying -2(-7 + -4x) + 3x = 102 (-7 * -2 + -4x * -2) + 3x = 102 (14 + 8x) + 3x = 102 Combine like terms: 8x + 3x = 11x 14 + 11x = 102 Solving 14 + 11x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 11x = 102 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 102 + -14 11x = 102 + -14 Combine like terms: 102 + -14 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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