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Simplifying 2x + 2 = 5 + -1(1 + -4x) Reorder the terms: 2 + 2x = 5 + -1(1 + -4x) 2 + 2x = 5 + (1 * -1 + -4x * -1) 2 + 2x = 5 + (-1 + 4x) Combine like terms: 5 + -1 = 4 2 + 2x = 4 + 4x Solving 2 + 2x = 4 + 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 = 4 + 4x + -4x Combine like terms: 2x + -4x = -2x 2 + -2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -2x = 4 + 0 2 + -2x = 4 Add '-2' to each side of the equation. 2 + -2 + -2x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 4 + -2 -2x = 4 + -2 Combine like terms: 4 + -2 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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