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Simplifying -1(5x + -17) + -3(x + -1) = -3(2x + 3) Reorder the terms: -1(-17 + 5x) + -3(x + -1) = -3(2x + 3) (-17 * -1 + 5x * -1) + -3(x + -1) = -3(2x + 3) (17 + -5x) + -3(x + -1) = -3(2x + 3) Reorder the terms: 17 + -5x + -3(-1 + x) = -3(2x + 3) 17 + -5x + (-1 * -3 + x * -3) = -3(2x + 3) 17 + -5x + (3 + -3x) = -3(2x + 3) Reorder the terms: 17 + 3 + -5x + -3x = -3(2x + 3) Combine like terms: 17 + 3 = 20 20 + -5x + -3x = -3(2x + 3) Combine like terms: -5x + -3x = -8x 20 + -8x = -3(2x + 3) Reorder the terms: 20 + -8x = -3(3 + 2x) 20 + -8x = (3 * -3 + 2x * -3) 20 + -8x = (-9 + -6x) Solving 20 + -8x = -9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 20 + -8x + 6x = -9 + -6x + 6x Combine like terms: -8x + 6x = -2x 20 + -2x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 20 + -2x = -9 + 0 20 + -2x = -9 Add '-20' to each side of the equation. 20 + -20 + -2x = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -9 + -20 -2x = -9 + -20 Combine like terms: -9 + -20 = -29 -2x = -29 Divide each side by '-2'. x = 14.5 Simplifying x = 14.5
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