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Simplifying -1(x + -1) = -3 + -2(3x + 3) Reorder the terms: -1(-1 + x) = -3 + -2(3x + 3) (-1 * -1 + x * -1) = -3 + -2(3x + 3) (1 + -1x) = -3 + -2(3x + 3) Reorder the terms: 1 + -1x = -3 + -2(3 + 3x) 1 + -1x = -3 + (3 * -2 + 3x * -2) 1 + -1x = -3 + (-6 + -6x) Combine like terms: -3 + -6 = -9 1 + -1x = -9 + -6x Solving 1 + -1x = -9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + -1x + 6x = -9 + -6x + 6x Combine like terms: -1x + 6x = 5x 1 + 5x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 5x = -9 + 0 1 + 5x = -9 Add '-1' to each side of the equation. 1 + -1 + 5x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = -9 + -1 5x = -9 + -1 Combine like terms: -9 + -1 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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