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Simplifying -3(2x + 5) + -3x + 18 = 9(x + 2) Reorder the terms: -3(5 + 2x) + -3x + 18 = 9(x + 2) (5 * -3 + 2x * -3) + -3x + 18 = 9(x + 2) (-15 + -6x) + -3x + 18 = 9(x + 2) Reorder the terms: -15 + 18 + -6x + -3x = 9(x + 2) Combine like terms: -15 + 18 = 3 3 + -6x + -3x = 9(x + 2) Combine like terms: -6x + -3x = -9x 3 + -9x = 9(x + 2) Reorder the terms: 3 + -9x = 9(2 + x) 3 + -9x = (2 * 9 + x * 9) 3 + -9x = (18 + 9x) Solving 3 + -9x = 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. 3 + -9x + -9x = 18 + 9x + -9x Combine like terms: -9x + -9x = -18x 3 + -18x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -18x = 18 + 0 3 + -18x = 18 Add '-3' to each side of the equation. 3 + -3 + -18x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + -18x = 18 + -3 -18x = 18 + -3 Combine like terms: 18 + -3 = 15 -18x = 15 Divide each side by '-18'. x = -0.8333333333 Simplifying x = -0.8333333333
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