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Simplifying 8(x + 9) + x = -1(5 + -1x) Reorder the terms: 8(9 + x) + x = -1(5 + -1x) (9 * 8 + x * 8) + x = -1(5 + -1x) (72 + 8x) + x = -1(5 + -1x) Combine like terms: 8x + x = 9x 72 + 9x = -1(5 + -1x) 72 + 9x = (5 * -1 + -1x * -1) 72 + 9x = (-5 + 1x) Solving 72 + 9x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 72 + 9x + -1x = -5 + 1x + -1x Combine like terms: 9x + -1x = 8x 72 + 8x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 72 + 8x = -5 + 0 72 + 8x = -5 Add '-72' to each side of the equation. 72 + -72 + 8x = -5 + -72 Combine like terms: 72 + -72 = 0 0 + 8x = -5 + -72 8x = -5 + -72 Combine like terms: -5 + -72 = -77 8x = -77 Divide each side by '8'. x = -9.625 Simplifying x = -9.625
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