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Simplifying 13x + 3(3 + -1x) = -3(4 + 3x) + -2x 13x + (3 * 3 + -1x * 3) = -3(4 + 3x) + -2x 13x + (9 + -3x) = -3(4 + 3x) + -2x Reorder the terms: 9 + 13x + -3x = -3(4 + 3x) + -2x Combine like terms: 13x + -3x = 10x 9 + 10x = -3(4 + 3x) + -2x 9 + 10x = (4 * -3 + 3x * -3) + -2x 9 + 10x = (-12 + -9x) + -2x Combine like terms: -9x + -2x = -11x 9 + 10x = -12 + -11x Solving 9 + 10x = -12 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 9 + 10x + 11x = -12 + -11x + 11x Combine like terms: 10x + 11x = 21x 9 + 21x = -12 + -11x + 11x Combine like terms: -11x + 11x = 0 9 + 21x = -12 + 0 9 + 21x = -12 Add '-9' to each side of the equation. 9 + -9 + 21x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 21x = -12 + -9 21x = -12 + -9 Combine like terms: -12 + -9 = -21 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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