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