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Simplifying -1x + 8 + -1(-4x + 4) = 2x + 8 Reorder the terms: -1x + 8 + -1(4 + -4x) = 2x + 8 -1x + 8 + (4 * -1 + -4x * -1) = 2x + 8 -1x + 8 + (-4 + 4x) = 2x + 8 Reorder the terms: 8 + -4 + -1x + 4x = 2x + 8 Combine like terms: 8 + -4 = 4 4 + -1x + 4x = 2x + 8 Combine like terms: -1x + 4x = 3x 4 + 3x = 2x + 8 Reorder the terms: 4 + 3x = 8 + 2x Solving 4 + 3x = 8 + 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 + 3x + -2x = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x 4 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1x = 8 + 0 4 + 1x = 8 Add '-4' to each side of the equation. 4 + -4 + 1x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 8 + -4 1x = 8 + -4 Combine like terms: 8 + -4 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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