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Simplifying 8x + -9(x + 1) = 3(5 + -1x) Reorder the terms: 8x + -9(1 + x) = 3(5 + -1x) 8x + (1 * -9 + x * -9) = 3(5 + -1x) 8x + (-9 + -9x) = 3(5 + -1x) Reorder the terms: -9 + 8x + -9x = 3(5 + -1x) Combine like terms: 8x + -9x = -1x -9 + -1x = 3(5 + -1x) -9 + -1x = (5 * 3 + -1x * 3) -9 + -1x = (15 + -3x) Solving -9 + -1x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -9 + -1x + 3x = 15 + -3x + 3x Combine like terms: -1x + 3x = 2x -9 + 2x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -9 + 2x = 15 + 0 -9 + 2x = 15 Add '9' to each side of the equation. -9 + 9 + 2x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 15 + 9 2x = 15 + 9 Combine like terms: 15 + 9 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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