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Simplifying -4(x + 2) = x + 2 Reorder the terms: -4(2 + x) = x + 2 (2 * -4 + x * -4) = x + 2 (-8 + -4x) = x + 2 Reorder the terms: -8 + -4x = 2 + x Solving -8 + -4x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -4x + -1x = 2 + x + -1x Combine like terms: -4x + -1x = -5x -8 + -5x = 2 + x + -1x Combine like terms: x + -1x = 0 -8 + -5x = 2 + 0 -8 + -5x = 2 Add '8' to each side of the equation. -8 + 8 + -5x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 2 + 8 -5x = 2 + 8 Combine like terms: 2 + 8 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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