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Simplifying 3(2x + 3) = 8 + -5(2x + -3) Reorder the terms: 3(3 + 2x) = 8 + -5(2x + -3) (3 * 3 + 2x * 3) = 8 + -5(2x + -3) (9 + 6x) = 8 + -5(2x + -3) Reorder the terms: 9 + 6x = 8 + -5(-3 + 2x) 9 + 6x = 8 + (-3 * -5 + 2x * -5) 9 + 6x = 8 + (15 + -10x) Combine like terms: 8 + 15 = 23 9 + 6x = 23 + -10x Solving 9 + 6x = 23 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 9 + 6x + 10x = 23 + -10x + 10x Combine like terms: 6x + 10x = 16x 9 + 16x = 23 + -10x + 10x Combine like terms: -10x + 10x = 0 9 + 16x = 23 + 0 9 + 16x = 23 Add '-9' to each side of the equation. 9 + -9 + 16x = 23 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = 23 + -9 16x = 23 + -9 Combine like terms: 23 + -9 = 14 16x = 14 Divide each side by '16'. x = 0.875 Simplifying x = 0.875
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