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Simplifying -2(x + -7) = -12(4x + -7) Reorder the terms: -2(-7 + x) = -12(4x + -7) (-7 * -2 + x * -2) = -12(4x + -7) (14 + -2x) = -12(4x + -7) Reorder the terms: 14 + -2x = -12(-7 + 4x) 14 + -2x = (-7 * -12 + 4x * -12) 14 + -2x = (84 + -48x) Solving 14 + -2x = 84 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 14 + -2x + 48x = 84 + -48x + 48x Combine like terms: -2x + 48x = 46x 14 + 46x = 84 + -48x + 48x Combine like terms: -48x + 48x = 0 14 + 46x = 84 + 0 14 + 46x = 84 Add '-14' to each side of the equation. 14 + -14 + 46x = 84 + -14 Combine like terms: 14 + -14 = 0 0 + 46x = 84 + -14 46x = 84 + -14 Combine like terms: 84 + -14 = 70 46x = 70 Divide each side by '46'. x = 1.52173913 Simplifying x = 1.52173913
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