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Simplifying -1x + 5 + 2(x + 2) = -2(-4 + -1x) + 3 Reorder the terms: -1x + 5 + 2(2 + x) = -2(-4 + -1x) + 3 -1x + 5 + (2 * 2 + x * 2) = -2(-4 + -1x) + 3 -1x + 5 + (4 + 2x) = -2(-4 + -1x) + 3 Reorder the terms: 5 + 4 + -1x + 2x = -2(-4 + -1x) + 3 Combine like terms: 5 + 4 = 9 9 + -1x + 2x = -2(-4 + -1x) + 3 Combine like terms: -1x + 2x = 1x 9 + 1x = -2(-4 + -1x) + 3 9 + 1x = (-4 * -2 + -1x * -2) + 3 9 + 1x = (8 + 2x) + 3 Reorder the terms: 9 + 1x = 8 + 3 + 2x Combine like terms: 8 + 3 = 11 9 + 1x = 11 + 2x Solving 9 + 1x = 11 + 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. 9 + 1x + -2x = 11 + 2x + -2x Combine like terms: 1x + -2x = -1x 9 + -1x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -1x = 11 + 0 9 + -1x = 11 Add '-9' to each side of the equation. 9 + -9 + -1x = 11 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 11 + -9 -1x = 11 + -9 Combine like terms: 11 + -9 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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