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Simplifying 3(x + 3) = 8(x + -1) + -18 Reorder the terms: 3(3 + x) = 8(x + -1) + -18 (3 * 3 + x * 3) = 8(x + -1) + -18 (9 + 3x) = 8(x + -1) + -18 Reorder the terms: 9 + 3x = 8(-1 + x) + -18 9 + 3x = (-1 * 8 + x * 8) + -18 9 + 3x = (-8 + 8x) + -18 Reorder the terms: 9 + 3x = -8 + -18 + 8x Combine like terms: -8 + -18 = -26 9 + 3x = -26 + 8x Solving 9 + 3x = -26 + 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. 9 + 3x + -8x = -26 + 8x + -8x Combine like terms: 3x + -8x = -5x 9 + -5x = -26 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -5x = -26 + 0 9 + -5x = -26 Add '-9' to each side of the equation. 9 + -9 + -5x = -26 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -26 + -9 -5x = -26 + -9 Combine like terms: -26 + -9 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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