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Simplifying 4x + -2(x + -2) = -4 + 6x + 12 Reorder the terms: 4x + -2(-2 + x) = -4 + 6x + 12 4x + (-2 * -2 + x * -2) = -4 + 6x + 12 4x + (4 + -2x) = -4 + 6x + 12 Reorder the terms: 4 + 4x + -2x = -4 + 6x + 12 Combine like terms: 4x + -2x = 2x 4 + 2x = -4 + 6x + 12 Reorder the terms: 4 + 2x = -4 + 12 + 6x Combine like terms: -4 + 12 = 8 4 + 2x = 8 + 6x Solving 4 + 2x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 2x + -6x = 8 + 6x + -6x Combine like terms: 2x + -6x = -4x 4 + -4x = 8 + 6x + -6x Combine like terms: 6x + -6x = 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 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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