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Simplifying 13 + -6(x + -3) = 12 + -5(x + 4) Reorder the terms: 13 + -6(-3 + x) = 12 + -5(x + 4) 13 + (-3 * -6 + x * -6) = 12 + -5(x + 4) 13 + (18 + -6x) = 12 + -5(x + 4) Combine like terms: 13 + 18 = 31 31 + -6x = 12 + -5(x + 4) Reorder the terms: 31 + -6x = 12 + -5(4 + x) 31 + -6x = 12 + (4 * -5 + x * -5) 31 + -6x = 12 + (-20 + -5x) Combine like terms: 12 + -20 = -8 31 + -6x = -8 + -5x Solving 31 + -6x = -8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 31 + -6x + 5x = -8 + -5x + 5x Combine like terms: -6x + 5x = -1x 31 + -1x = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 31 + -1x = -8 + 0 31 + -1x = -8 Add '-31' to each side of the equation. 31 + -31 + -1x = -8 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = -8 + -31 -1x = -8 + -31 Combine like terms: -8 + -31 = -39 -1x = -39 Divide each side by '-1'. x = 39 Simplifying x = 39
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