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Simplifying 3(2x + 3) = 4(6 + -1x) Reorder the terms: 3(3 + 2x) = 4(6 + -1x) (3 * 3 + 2x * 3) = 4(6 + -1x) (9 + 6x) = 4(6 + -1x) 9 + 6x = (6 * 4 + -1x * 4) 9 + 6x = (24 + -4x) Solving 9 + 6x = 24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + 6x + 4x = 24 + -4x + 4x Combine like terms: 6x + 4x = 10x 9 + 10x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 10x = 24 + 0 9 + 10x = 24 Add '-9' to each side of the equation. 9 + -9 + 10x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 24 + -9 10x = 24 + -9 Combine like terms: 24 + -9 = 15 10x = 15 Divide each side by '10'. x = 1.5 Simplifying x = 1.5
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