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Simplifying 2(4 + -3x) + -3 = 9(3 + 2x) (4 * 2 + -3x * 2) + -3 = 9(3 + 2x) (8 + -6x) + -3 = 9(3 + 2x) Reorder the terms: 8 + -3 + -6x = 9(3 + 2x) Combine like terms: 8 + -3 = 5 5 + -6x = 9(3 + 2x) 5 + -6x = (3 * 9 + 2x * 9) 5 + -6x = (27 + 18x) Solving 5 + -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. 5 + -6x + -18x = 27 + 18x + -18x Combine like terms: -6x + -18x = -24x 5 + -24x = 27 + 18x + -18x Combine like terms: 18x + -18x = 0 5 + -24x = 27 + 0 5 + -24x = 27 Add '-5' to each side of the equation. 5 + -5 + -24x = 27 + -5 Combine like terms: 5 + -5 = 0 0 + -24x = 27 + -5 -24x = 27 + -5 Combine like terms: 27 + -5 = 22 -24x = 22 Divide each side by '-24'. x = -0.9166666667 Simplifying x = -0.9166666667
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