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Simplifying 3x + -1(x + -8) = 2(-2x + -5) Reorder the terms: 3x + -1(-8 + x) = 2(-2x + -5) 3x + (-8 * -1 + x * -1) = 2(-2x + -5) 3x + (8 + -1x) = 2(-2x + -5) Reorder the terms: 8 + 3x + -1x = 2(-2x + -5) Combine like terms: 3x + -1x = 2x 8 + 2x = 2(-2x + -5) Reorder the terms: 8 + 2x = 2(-5 + -2x) 8 + 2x = (-5 * 2 + -2x * 2) 8 + 2x = (-10 + -4x) Solving 8 + 2x = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 2x + 4x = -10 + -4x + 4x Combine like terms: 2x + 4x = 6x 8 + 6x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 6x = -10 + 0 8 + 6x = -10 Add '-8' to each side of the equation. 8 + -8 + 6x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -10 + -8 6x = -10 + -8 Combine like terms: -10 + -8 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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