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