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Simplifying 7 + -2(2x + 2) = 3(1 + -1x) + -1 Reorder the terms: 7 + -2(2 + 2x) = 3(1 + -1x) + -1 7 + (2 * -2 + 2x * -2) = 3(1 + -1x) + -1 7 + (-4 + -4x) = 3(1 + -1x) + -1 Combine like terms: 7 + -4 = 3 3 + -4x = 3(1 + -1x) + -1 3 + -4x = (1 * 3 + -1x * 3) + -1 3 + -4x = (3 + -3x) + -1 Reorder the terms: 3 + -4x = 3 + -1 + -3x Combine like terms: 3 + -1 = 2 3 + -4x = 2 + -3x Solving 3 + -4x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 3 + -4x + 3x = 2 + -3x + 3x Combine like terms: -4x + 3x = -1x 3 + -1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + -1x = 2 + 0 3 + -1x = 2 Add '-3' to each side of the equation. 3 + -3 + -1x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 2 + -3 -1x = 2 + -3 Combine like terms: 2 + -3 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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