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Simplifying 3(-3x + 4) + -9 = -13 + -1(4 + -1x) Reorder the terms: 3(4 + -3x) + -9 = -13 + -1(4 + -1x) (4 * 3 + -3x * 3) + -9 = -13 + -1(4 + -1x) (12 + -9x) + -9 = -13 + -1(4 + -1x) Reorder the terms: 12 + -9 + -9x = -13 + -1(4 + -1x) Combine like terms: 12 + -9 = 3 3 + -9x = -13 + -1(4 + -1x) 3 + -9x = -13 + (4 * -1 + -1x * -1) 3 + -9x = -13 + (-4 + 1x) Combine like terms: -13 + -4 = -17 3 + -9x = -17 + 1x Solving 3 + -9x = -17 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + -9x + -1x = -17 + 1x + -1x Combine like terms: -9x + -1x = -10x 3 + -10x = -17 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + -10x = -17 + 0 3 + -10x = -17 Add '-3' to each side of the equation. 3 + -3 + -10x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = -17 + -3 -10x = -17 + -3 Combine like terms: -17 + -3 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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