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Simplifying 6 + -4(x + 8) = 2(5 + -1x) Reorder the terms: 6 + -4(8 + x) = 2(5 + -1x) 6 + (8 * -4 + x * -4) = 2(5 + -1x) 6 + (-32 + -4x) = 2(5 + -1x) Combine like terms: 6 + -32 = -26 -26 + -4x = 2(5 + -1x) -26 + -4x = (5 * 2 + -1x * 2) -26 + -4x = (10 + -2x) Solving -26 + -4x = 10 + -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. -26 + -4x + 2x = 10 + -2x + 2x Combine like terms: -4x + 2x = -2x -26 + -2x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -26 + -2x = 10 + 0 -26 + -2x = 10 Add '26' to each side of the equation. -26 + 26 + -2x = 10 + 26 Combine like terms: -26 + 26 = 0 0 + -2x = 10 + 26 -2x = 10 + 26 Combine like terms: 10 + 26 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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