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