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