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Simplifying -2(x + -7) = 2(1 + 5x) Reorder the terms: -2(-7 + x) = 2(1 + 5x) (-7 * -2 + x * -2) = 2(1 + 5x) (14 + -2x) = 2(1 + 5x) 14 + -2x = (1 * 2 + 5x * 2) 14 + -2x = (2 + 10x) Solving 14 + -2x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 14 + -2x + -10x = 2 + 10x + -10x Combine like terms: -2x + -10x = -12x 14 + -12x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 14 + -12x = 2 + 0 14 + -12x = 2 Add '-14' to each side of the equation. 14 + -14 + -12x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -12x = 2 + -14 -12x = 2 + -14 Combine like terms: 2 + -14 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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