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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 = -4 -4 + -2x = 3x + -1(x + -8) Reorder the terms: -4 + -2x = 3x + -1(-8 + x) -4 + -2x = 3x + (-8 * -1 + x * -1) -4 + -2x = 3x + (8 + -1x) Reorder the terms: -4 + -2x = 8 + 3x + -1x Combine like terms: 3x + -1x = 2x -4 + -2x = 8 + 2x Solving -4 + -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. -4 + -2x + -2x = 8 + 2x + -2x Combine like terms: -2x + -2x = -4x -4 + -4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -4x = 8 + 0 -4 + -4x = 8 Add '4' to each side of the equation. -4 + 4 + -4x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 8 + 4 -4x = 8 + 4 Combine like terms: 8 + 4 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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