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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 = -5 -5 + -6x = 12 + -5(x + 4) Reorder the terms: -5 + -6x = 12 + -5(4 + x) -5 + -6x = 12 + (4 * -5 + x * -5) -5 + -6x = 12 + (-20 + -5x) Combine like terms: 12 + -20 = -8 -5 + -6x = -8 + -5x Solving -5 + -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. -5 + -6x + 5x = -8 + -5x + 5x Combine like terms: -6x + 5x = -1x -5 + -1x = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + -1x = -8 + 0 -5 + -1x = -8 Add '5' to each side of the equation. -5 + 5 + -1x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -8 + 5 -1x = -8 + 5 Combine like terms: -8 + 5 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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