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Simplifying 4 + -1(x + -2) = 8 + -1(2x + -4) Reorder the terms: 4 + -1(-2 + x) = 8 + -1(2x + -4) 4 + (-2 * -1 + x * -1) = 8 + -1(2x + -4) 4 + (2 + -1x) = 8 + -1(2x + -4) Combine like terms: 4 + 2 = 6 6 + -1x = 8 + -1(2x + -4) Reorder the terms: 6 + -1x = 8 + -1(-4 + 2x) 6 + -1x = 8 + (-4 * -1 + 2x * -1) 6 + -1x = 8 + (4 + -2x) Combine like terms: 8 + 4 = 12 6 + -1x = 12 + -2x Solving 6 + -1x = 12 + -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. 6 + -1x + 2x = 12 + -2x + 2x Combine like terms: -1x + 2x = 1x 6 + 1x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 1x = 12 + 0 6 + 1x = 12 Add '-6' to each side of the equation. 6 + -6 + 1x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 12 + -6 1x = 12 + -6 Combine like terms: 12 + -6 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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