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Simplifying 3(2x + -1) + -12 = -2(5x + 3) + 39 Reorder the terms: 3(-1 + 2x) + -12 = -2(5x + 3) + 39 (-1 * 3 + 2x * 3) + -12 = -2(5x + 3) + 39 (-3 + 6x) + -12 = -2(5x + 3) + 39 Reorder the terms: -3 + -12 + 6x = -2(5x + 3) + 39 Combine like terms: -3 + -12 = -15 -15 + 6x = -2(5x + 3) + 39 Reorder the terms: -15 + 6x = -2(3 + 5x) + 39 -15 + 6x = (3 * -2 + 5x * -2) + 39 -15 + 6x = (-6 + -10x) + 39 Reorder the terms: -15 + 6x = -6 + 39 + -10x Combine like terms: -6 + 39 = 33 -15 + 6x = 33 + -10x Solving -15 + 6x = 33 + -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. -15 + 6x + 10x = 33 + -10x + 10x Combine like terms: 6x + 10x = 16x -15 + 16x = 33 + -10x + 10x Combine like terms: -10x + 10x = 0 -15 + 16x = 33 + 0 -15 + 16x = 33 Add '15' to each side of the equation. -15 + 15 + 16x = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 16x = 33 + 15 16x = 33 + 15 Combine like terms: 33 + 15 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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