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Simplifying 3(2x + 9) = 4(-1x + 3) Reorder the terms: 3(9 + 2x) = 4(-1x + 3) (9 * 3 + 2x * 3) = 4(-1x + 3) (27 + 6x) = 4(-1x + 3) Reorder the terms: 27 + 6x = 4(3 + -1x) 27 + 6x = (3 * 4 + -1x * 4) 27 + 6x = (12 + -4x) Solving 27 + 6x = 12 + -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. 27 + 6x + 4x = 12 + -4x + 4x Combine like terms: 6x + 4x = 10x 27 + 10x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 27 + 10x = 12 + 0 27 + 10x = 12 Add '-27' to each side of the equation. 27 + -27 + 10x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 10x = 12 + -27 10x = 12 + -27 Combine like terms: 12 + -27 = -15 10x = -15 Divide each side by '10'. x = -1.5 Simplifying x = -1.5
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