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Simplifying x + -1(1 + 2(x + -4)) = 0 Reorder the terms: x + -1(1 + 2(-4 + x)) = 0 x + -1(1 + (-4 * 2 + x * 2)) = 0 x + -1(1 + (-8 + 2x)) = 0 Combine like terms: 1 + -8 = -7 x + -1(-7 + 2x) = 0 x + (-7 * -1 + 2x * -1) = 0 x + (7 + -2x) = 0 Reorder the terms: 7 + x + -2x = 0 Combine like terms: x + -2x = -1x 7 + -1x = 0 Solving 7 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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