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Simplifying 2 + -2(2x + -2) = -1(3x + 3) Reorder the terms: 2 + -2(-2 + 2x) = -1(3x + 3) 2 + (-2 * -2 + 2x * -2) = -1(3x + 3) 2 + (4 + -4x) = -1(3x + 3) Combine like terms: 2 + 4 = 6 6 + -4x = -1(3x + 3) Reorder the terms: 6 + -4x = -1(3 + 3x) 6 + -4x = (3 * -1 + 3x * -1) 6 + -4x = (-3 + -3x) Solving 6 + -4x = -3 + -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. 6 + -4x + 3x = -3 + -3x + 3x Combine like terms: -4x + 3x = -1x 6 + -1x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -1x = -3 + 0 6 + -1x = -3 Add '-6' to each side of the equation. 6 + -6 + -1x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -3 + -6 -1x = -3 + -6 Combine like terms: -3 + -6 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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