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Simplifying 8(x + 9) + -3 = 5(x + 6) Reorder the terms: 8(9 + x) + -3 = 5(x + 6) (9 * 8 + x * 8) + -3 = 5(x + 6) (72 + 8x) + -3 = 5(x + 6) Reorder the terms: 72 + -3 + 8x = 5(x + 6) Combine like terms: 72 + -3 = 69 69 + 8x = 5(x + 6) Reorder the terms: 69 + 8x = 5(6 + x) 69 + 8x = (6 * 5 + x * 5) 69 + 8x = (30 + 5x) Solving 69 + 8x = 30 + 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. 69 + 8x + -5x = 30 + 5x + -5x Combine like terms: 8x + -5x = 3x 69 + 3x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 69 + 3x = 30 + 0 69 + 3x = 30 Add '-69' to each side of the equation. 69 + -69 + 3x = 30 + -69 Combine like terms: 69 + -69 = 0 0 + 3x = 30 + -69 3x = 30 + -69 Combine like terms: 30 + -69 = -39 3x = -39 Divide each side by '3'. x = -13 Simplifying x = -13
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