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Simplifying 3x + 5(x + 6) = 9(x + -2) Reorder the terms: 3x + 5(6 + x) = 9(x + -2) 3x + (6 * 5 + x * 5) = 9(x + -2) 3x + (30 + 5x) = 9(x + -2) Reorder the terms: 30 + 3x + 5x = 9(x + -2) Combine like terms: 3x + 5x = 8x 30 + 8x = 9(x + -2) Reorder the terms: 30 + 8x = 9(-2 + x) 30 + 8x = (-2 * 9 + x * 9) 30 + 8x = (-18 + 9x) Solving 30 + 8x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 30 + 8x + -9x = -18 + 9x + -9x Combine like terms: 8x + -9x = -1x 30 + -1x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + -1x = -18 + 0 30 + -1x = -18 Add '-30' to each side of the equation. 30 + -30 + -1x = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = -18 + -30 -1x = -18 + -30 Combine like terms: -18 + -30 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48
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