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Simplifying -5(x + 4) + -3(x + -1) = -2(3 + -1x) + 15 Reorder the terms: -5(4 + x) + -3(x + -1) = -2(3 + -1x) + 15 (4 * -5 + x * -5) + -3(x + -1) = -2(3 + -1x) + 15 (-20 + -5x) + -3(x + -1) = -2(3 + -1x) + 15 Reorder the terms: -20 + -5x + -3(-1 + x) = -2(3 + -1x) + 15 -20 + -5x + (-1 * -3 + x * -3) = -2(3 + -1x) + 15 -20 + -5x + (3 + -3x) = -2(3 + -1x) + 15 Reorder the terms: -20 + 3 + -5x + -3x = -2(3 + -1x) + 15 Combine like terms: -20 + 3 = -17 -17 + -5x + -3x = -2(3 + -1x) + 15 Combine like terms: -5x + -3x = -8x -17 + -8x = -2(3 + -1x) + 15 -17 + -8x = (3 * -2 + -1x * -2) + 15 -17 + -8x = (-6 + 2x) + 15 Reorder the terms: -17 + -8x = -6 + 15 + 2x Combine like terms: -6 + 15 = 9 -17 + -8x = 9 + 2x Solving -17 + -8x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + -8x + -2x = 9 + 2x + -2x Combine like terms: -8x + -2x = -10x -17 + -10x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + -10x = 9 + 0 -17 + -10x = 9 Add '17' to each side of the equation. -17 + 17 + -10x = 9 + 17 Combine like terms: -17 + 17 = 0 0 + -10x = 9 + 17 -10x = 9 + 17 Combine like terms: 9 + 17 = 26 -10x = 26 Divide each side by '-10'. x = -2.6 Simplifying x = -2.6
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