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Simplifying 2(x + 7) = -8(-4 + 2x) Reorder the terms: 2(7 + x) = -8(-4 + 2x) (7 * 2 + x * 2) = -8(-4 + 2x) (14 + 2x) = -8(-4 + 2x) 14 + 2x = (-4 * -8 + 2x * -8) 14 + 2x = (32 + -16x) Solving 14 + 2x = 32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 14 + 2x + 16x = 32 + -16x + 16x Combine like terms: 2x + 16x = 18x 14 + 18x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 14 + 18x = 32 + 0 14 + 18x = 32 Add '-14' to each side of the equation. 14 + -14 + 18x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 18x = 32 + -14 18x = 32 + -14 Combine like terms: 32 + -14 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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