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Simplifying 5 = -1(x + 9) + -5x + 2(x + -1) Reorder the terms: 5 = -1(9 + x) + -5x + 2(x + -1) 5 = (9 * -1 + x * -1) + -5x + 2(x + -1) 5 = (-9 + -1x) + -5x + 2(x + -1) Reorder the terms: 5 = -9 + -1x + -5x + 2(-1 + x) 5 = -9 + -1x + -5x + (-1 * 2 + x * 2) 5 = -9 + -1x + -5x + (-2 + 2x) Reorder the terms: 5 = -9 + -2 + -1x + -5x + 2x Combine like terms: -9 + -2 = -11 5 = -11 + -1x + -5x + 2x Combine like terms: -1x + -5x = -6x 5 = -11 + -6x + 2x Combine like terms: -6x + 2x = -4x 5 = -11 + -4x Solving 5 = -11 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 4x = -11 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 4x = -11 + 0 5 + 4x = -11 Add '-5' to each side of the equation. 5 + -5 + 4x = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = -11 + -5 4x = -11 + -5 Combine like terms: -11 + -5 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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