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Simplifying 5x + -1(2x + -5) + 2 = -3(x + 8) Reorder the terms: 5x + -1(-5 + 2x) + 2 = -3(x + 8) 5x + (-5 * -1 + 2x * -1) + 2 = -3(x + 8) 5x + (5 + -2x) + 2 = -3(x + 8) Reorder the terms: 5 + 2 + 5x + -2x = -3(x + 8) Combine like terms: 5 + 2 = 7 7 + 5x + -2x = -3(x + 8) Combine like terms: 5x + -2x = 3x 7 + 3x = -3(x + 8) Reorder the terms: 7 + 3x = -3(8 + x) 7 + 3x = (8 * -3 + x * -3) 7 + 3x = (-24 + -3x) Solving 7 + 3x = -24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + 3x + 3x = -24 + -3x + 3x Combine like terms: 3x + 3x = 6x 7 + 6x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 6x = -24 + 0 7 + 6x = -24 Add '-7' to each side of the equation. 7 + -7 + 6x = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = -24 + -7 6x = -24 + -7 Combine like terms: -24 + -7 = -31 6x = -31 Divide each side by '6'. x = -5.166666667 Simplifying x = -5.166666667
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