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Simplifying 3(-3x + -4) + 13 = -6 + -5(2x + -1) Reorder the terms: 3(-4 + -3x) + 13 = -6 + -5(2x + -1) (-4 * 3 + -3x * 3) + 13 = -6 + -5(2x + -1) (-12 + -9x) + 13 = -6 + -5(2x + -1) Reorder the terms: -12 + 13 + -9x = -6 + -5(2x + -1) Combine like terms: -12 + 13 = 1 1 + -9x = -6 + -5(2x + -1) Reorder the terms: 1 + -9x = -6 + -5(-1 + 2x) 1 + -9x = -6 + (-1 * -5 + 2x * -5) 1 + -9x = -6 + (5 + -10x) Combine like terms: -6 + 5 = -1 1 + -9x = -1 + -10x Solving 1 + -9x = -1 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 1 + -9x + 10x = -1 + -10x + 10x Combine like terms: -9x + 10x = 1x 1 + 1x = -1 + -10x + 10x Combine like terms: -10x + 10x = 0 1 + 1x = -1 + 0 1 + 1x = -1 Add '-1' to each side of the equation. 1 + -1 + 1x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -1 + -1 1x = -1 + -1 Combine like terms: -1 + -1 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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