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Simplifying -2x + 2 = 4(2 + x) Reorder the terms: 2 + -2x = 4(2 + x) 2 + -2x = (2 * 4 + x * 4) 2 + -2x = (8 + 4x) Solving 2 + -2x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -2x + -4x = 8 + 4x + -4x Combine like terms: -2x + -4x = -6x 2 + -6x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -6x = 8 + 0 2 + -6x = 8 Add '-2' to each side of the equation. 2 + -2 + -6x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 8 + -2 -6x = 8 + -2 Combine like terms: 8 + -2 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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