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Simplifying 6(x + 3) = -9(2x + -3) Reorder the terms: 6(3 + x) = -9(2x + -3) (3 * 6 + x * 6) = -9(2x + -3) (18 + 6x) = -9(2x + -3) Reorder the terms: 18 + 6x = -9(-3 + 2x) 18 + 6x = (-3 * -9 + 2x * -9) 18 + 6x = (27 + -18x) Solving 18 + 6x = 27 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 18 + 6x + 18x = 27 + -18x + 18x Combine like terms: 6x + 18x = 24x 18 + 24x = 27 + -18x + 18x Combine like terms: -18x + 18x = 0 18 + 24x = 27 + 0 18 + 24x = 27 Add '-18' to each side of the equation. 18 + -18 + 24x = 27 + -18 Combine like terms: 18 + -18 = 0 0 + 24x = 27 + -18 24x = 27 + -18 Combine like terms: 27 + -18 = 9 24x = 9 Divide each side by '24'. x = 0.375 Simplifying x = 0.375
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