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Simplifying 8(x + 9) + x = 5(9 + -1x) Reorder the terms: 8(9 + x) + x = 5(9 + -1x) (9 * 8 + x * 8) + x = 5(9 + -1x) (72 + 8x) + x = 5(9 + -1x) Combine like terms: 8x + x = 9x 72 + 9x = 5(9 + -1x) 72 + 9x = (9 * 5 + -1x * 5) 72 + 9x = (45 + -5x) Solving 72 + 9x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 72 + 9x + 5x = 45 + -5x + 5x Combine like terms: 9x + 5x = 14x 72 + 14x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 72 + 14x = 45 + 0 72 + 14x = 45 Add '-72' to each side of the equation. 72 + -72 + 14x = 45 + -72 Combine like terms: 72 + -72 = 0 0 + 14x = 45 + -72 14x = 45 + -72 Combine like terms: 45 + -72 = -27 14x = -27 Divide each side by '14'. x = -1.928571429 Simplifying x = -1.928571429
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