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