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Simplifying 4(x + 1) = -2(-1x + -9) Reorder the terms: 4(1 + x) = -2(-1x + -9) (1 * 4 + x * 4) = -2(-1x + -9) (4 + 4x) = -2(-1x + -9) Reorder the terms: 4 + 4x = -2(-9 + -1x) 4 + 4x = (-9 * -2 + -1x * -2) 4 + 4x = (18 + 2x) Solving 4 + 4x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 4x + -2x = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = 18 + 0 4 + 2x = 18 Add '-4' to each side of the equation. 4 + -4 + 2x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 18 + -4 2x = 18 + -4 Combine like terms: 18 + -4 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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