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Simplifying 3(2x + 3) + -1(5 + -1x) = 12 + -4x Reorder the terms: 3(3 + 2x) + -1(5 + -1x) = 12 + -4x (3 * 3 + 2x * 3) + -1(5 + -1x) = 12 + -4x (9 + 6x) + -1(5 + -1x) = 12 + -4x 9 + 6x + (5 * -1 + -1x * -1) = 12 + -4x 9 + 6x + (-5 + 1x) = 12 + -4x Reorder the terms: 9 + -5 + 6x + 1x = 12 + -4x Combine like terms: 9 + -5 = 4 4 + 6x + 1x = 12 + -4x Combine like terms: 6x + 1x = 7x 4 + 7x = 12 + -4x Solving 4 + 7x = 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. 4 + 7x + 4x = 12 + -4x + 4x Combine like terms: 7x + 4x = 11x 4 + 11x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 11x = 12 + 0 4 + 11x = 12 Add '-4' to each side of the equation. 4 + -4 + 11x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 12 + -4 11x = 12 + -4 Combine like terms: 12 + -4 = 8 11x = 8 Divide each side by '11'. x = 0.7272727273 Simplifying x = 0.7272727273
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