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Simplifying 9(4 + -3x + -4x) + 8(5x + 6) = 15 Combine like terms: -3x + -4x = -7x 9(4 + -7x) + 8(5x + 6) = 15 (4 * 9 + -7x * 9) + 8(5x + 6) = 15 (36 + -63x) + 8(5x + 6) = 15 Reorder the terms: 36 + -63x + 8(6 + 5x) = 15 36 + -63x + (6 * 8 + 5x * 8) = 15 36 + -63x + (48 + 40x) = 15 Reorder the terms: 36 + 48 + -63x + 40x = 15 Combine like terms: 36 + 48 = 84 84 + -63x + 40x = 15 Combine like terms: -63x + 40x = -23x 84 + -23x = 15 Solving 84 + -23x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -23x = 15 + -84 Combine like terms: 84 + -84 = 0 0 + -23x = 15 + -84 -23x = 15 + -84 Combine like terms: 15 + -84 = -69 -23x = -69 Divide each side by '-23'. x = 3 Simplifying x = 3
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