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Simplifying 6 + -2(x + -5) = 3x + -1(x + -8) Reorder the terms: 6 + -2(-5 + x) = 3x + -1(x + -8) 6 + (-5 * -2 + x * -2) = 3x + -1(x + -8) 6 + (10 + -2x) = 3x + -1(x + -8) Combine like terms: 6 + 10 = 16 16 + -2x = 3x + -1(x + -8) Reorder the terms: 16 + -2x = 3x + -1(-8 + x) 16 + -2x = 3x + (-8 * -1 + x * -1) 16 + -2x = 3x + (8 + -1x) Reorder the terms: 16 + -2x = 8 + 3x + -1x Combine like terms: 3x + -1x = 2x 16 + -2x = 8 + 2x Solving 16 + -2x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 16 + -2x + -2x = 8 + 2x + -2x Combine like terms: -2x + -2x = -4x 16 + -4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + -4x = 8 + 0 16 + -4x = 8 Add '-16' to each side of the equation. 16 + -16 + -4x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 8 + -16 -4x = 8 + -16 Combine like terms: 8 + -16 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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