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Simplifying 4 + -1(2x + 2) = 2(x + 4) + -1 Reorder the terms: 4 + -1(2 + 2x) = 2(x + 4) + -1 4 + (2 * -1 + 2x * -1) = 2(x + 4) + -1 4 + (-2 + -2x) = 2(x + 4) + -1 Combine like terms: 4 + -2 = 2 2 + -2x = 2(x + 4) + -1 Reorder the terms: 2 + -2x = 2(4 + x) + -1 2 + -2x = (4 * 2 + x * 2) + -1 2 + -2x = (8 + 2x) + -1 Reorder the terms: 2 + -2x = 8 + -1 + 2x Combine like terms: 8 + -1 = 7 2 + -2x = 7 + 2x Solving 2 + -2x = 7 + 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. 2 + -2x + -2x = 7 + 2x + -2x Combine like terms: -2x + -2x = -4x 2 + -4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -4x = 7 + 0 2 + -4x = 7 Add '-2' to each side of the equation. 2 + -2 + -4x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 7 + -2 -4x = 7 + -2 Combine like terms: 7 + -2 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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