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Simplifying -5(x + -1) = 2(x + -9) + -33 Reorder the terms: -5(-1 + x) = 2(x + -9) + -33 (-1 * -5 + x * -5) = 2(x + -9) + -33 (5 + -5x) = 2(x + -9) + -33 Reorder the terms: 5 + -5x = 2(-9 + x) + -33 5 + -5x = (-9 * 2 + x * 2) + -33 5 + -5x = (-18 + 2x) + -33 Reorder the terms: 5 + -5x = -18 + -33 + 2x Combine like terms: -18 + -33 = -51 5 + -5x = -51 + 2x Solving 5 + -5x = -51 + 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. 5 + -5x + -2x = -51 + 2x + -2x Combine like terms: -5x + -2x = -7x 5 + -7x = -51 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -7x = -51 + 0 5 + -7x = -51 Add '-5' to each side of the equation. 5 + -5 + -7x = -51 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = -51 + -5 -7x = -51 + -5 Combine like terms: -51 + -5 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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