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Simplifying 8x + -1(x + -5) = 2(3x + -8) Reorder the terms: 8x + -1(-5 + x) = 2(3x + -8) 8x + (-5 * -1 + x * -1) = 2(3x + -8) 8x + (5 + -1x) = 2(3x + -8) Reorder the terms: 5 + 8x + -1x = 2(3x + -8) Combine like terms: 8x + -1x = 7x 5 + 7x = 2(3x + -8) Reorder the terms: 5 + 7x = 2(-8 + 3x) 5 + 7x = (-8 * 2 + 3x * 2) 5 + 7x = (-16 + 6x) Solving 5 + 7x = -16 + 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. 5 + 7x + -6x = -16 + 6x + -6x Combine like terms: 7x + -6x = 1x 5 + 1x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 1x = -16 + 0 5 + 1x = -16 Add '-5' to each side of the equation. 5 + -5 + 1x = -16 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -16 + -5 1x = -16 + -5 Combine like terms: -16 + -5 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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