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Simplifying -3(2x + 5) + -1(x + 8) = -17(x + -1) Reorder the terms: -3(5 + 2x) + -1(x + 8) = -17(x + -1) (5 * -3 + 2x * -3) + -1(x + 8) = -17(x + -1) (-15 + -6x) + -1(x + 8) = -17(x + -1) Reorder the terms: -15 + -6x + -1(8 + x) = -17(x + -1) -15 + -6x + (8 * -1 + x * -1) = -17(x + -1) -15 + -6x + (-8 + -1x) = -17(x + -1) Reorder the terms: -15 + -8 + -6x + -1x = -17(x + -1) Combine like terms: -15 + -8 = -23 -23 + -6x + -1x = -17(x + -1) Combine like terms: -6x + -1x = -7x -23 + -7x = -17(x + -1) Reorder the terms: -23 + -7x = -17(-1 + x) -23 + -7x = (-1 * -17 + x * -17) -23 + -7x = (17 + -17x) Solving -23 + -7x = 17 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -23 + -7x + 17x = 17 + -17x + 17x Combine like terms: -7x + 17x = 10x -23 + 10x = 17 + -17x + 17x Combine like terms: -17x + 17x = 0 -23 + 10x = 17 + 0 -23 + 10x = 17 Add '23' to each side of the equation. -23 + 23 + 10x = 17 + 23 Combine like terms: -23 + 23 = 0 0 + 10x = 17 + 23 10x = 17 + 23 Combine like terms: 17 + 23 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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