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Simplifying 3(2x + -5) + 4x = -8(2x + 6) + -12 Reorder the terms: 3(-5 + 2x) + 4x = -8(2x + 6) + -12 (-5 * 3 + 2x * 3) + 4x = -8(2x + 6) + -12 (-15 + 6x) + 4x = -8(2x + 6) + -12 Combine like terms: 6x + 4x = 10x -15 + 10x = -8(2x + 6) + -12 Reorder the terms: -15 + 10x = -8(6 + 2x) + -12 -15 + 10x = (6 * -8 + 2x * -8) + -12 -15 + 10x = (-48 + -16x) + -12 Reorder the terms: -15 + 10x = -48 + -12 + -16x Combine like terms: -48 + -12 = -60 -15 + 10x = -60 + -16x Solving -15 + 10x = -60 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -15 + 10x + 16x = -60 + -16x + 16x Combine like terms: 10x + 16x = 26x -15 + 26x = -60 + -16x + 16x Combine like terms: -16x + 16x = 0 -15 + 26x = -60 + 0 -15 + 26x = -60 Add '15' to each side of the equation. -15 + 15 + 26x = -60 + 15 Combine like terms: -15 + 15 = 0 0 + 26x = -60 + 15 26x = -60 + 15 Combine like terms: -60 + 15 = -45 26x = -45 Divide each side by '26'. x = -1.730769231 Simplifying x = -1.730769231
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