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Simplifying 9(x + -3) = 8(4 + x) Reorder the terms: 9(-3 + x) = 8(4 + x) (-3 * 9 + x * 9) = 8(4 + x) (-27 + 9x) = 8(4 + x) -27 + 9x = (4 * 8 + x * 8) -27 + 9x = (32 + 8x) Solving -27 + 9x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27 + 9x + -8x = 32 + 8x + -8x Combine like terms: 9x + -8x = 1x -27 + 1x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + 1x = 32 + 0 -27 + 1x = 32 Add '27' to each side of the equation. -27 + 27 + 1x = 32 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 32 + 27 1x = 32 + 27 Combine like terms: 32 + 27 = 59 1x = 59 Divide each side by '1'. x = 59 Simplifying x = 59
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