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Simplifying -3(12x + 15) + -12x + -20 = -2(3x + -12) + 8x + 76 + 5x Reorder the terms: -3(15 + 12x) + -12x + -20 = -2(3x + -12) + 8x + 76 + 5x (15 * -3 + 12x * -3) + -12x + -20 = -2(3x + -12) + 8x + 76 + 5x (-45 + -36x) + -12x + -20 = -2(3x + -12) + 8x + 76 + 5x Reorder the terms: -45 + -20 + -36x + -12x = -2(3x + -12) + 8x + 76 + 5x Combine like terms: -45 + -20 = -65 -65 + -36x + -12x = -2(3x + -12) + 8x + 76 + 5x Combine like terms: -36x + -12x = -48x -65 + -48x = -2(3x + -12) + 8x + 76 + 5x Reorder the terms: -65 + -48x = -2(-12 + 3x) + 8x + 76 + 5x -65 + -48x = (-12 * -2 + 3x * -2) + 8x + 76 + 5x -65 + -48x = (24 + -6x) + 8x + 76 + 5x Reorder the terms: -65 + -48x = 24 + 76 + -6x + 8x + 5x Combine like terms: 24 + 76 = 100 -65 + -48x = 100 + -6x + 8x + 5x Combine like terms: -6x + 8x = 2x -65 + -48x = 100 + 2x + 5x Combine like terms: 2x + 5x = 7x -65 + -48x = 100 + 7x Solving -65 + -48x = 100 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -65 + -48x + -7x = 100 + 7x + -7x Combine like terms: -48x + -7x = -55x -65 + -55x = 100 + 7x + -7x Combine like terms: 7x + -7x = 0 -65 + -55x = 100 + 0 -65 + -55x = 100 Add '65' to each side of the equation. -65 + 65 + -55x = 100 + 65 Combine like terms: -65 + 65 = 0 0 + -55x = 100 + 65 -55x = 100 + 65 Combine like terms: 100 + 65 = 165 -55x = 165 Divide each side by '-55'. x = -3 Simplifying x = -3
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