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Simplifying 6(x + -3) + 5(x + 4) = 13 Reorder the terms: 6(-3 + x) + 5(x + 4) = 13 (-3 * 6 + x * 6) + 5(x + 4) = 13 (-18 + 6x) + 5(x + 4) = 13 Reorder the terms: -18 + 6x + 5(4 + x) = 13 -18 + 6x + (4 * 5 + x * 5) = 13 -18 + 6x + (20 + 5x) = 13 Reorder the terms: -18 + 20 + 6x + 5x = 13 Combine like terms: -18 + 20 = 2 2 + 6x + 5x = 13 Combine like terms: 6x + 5x = 11x 2 + 11x = 13 Solving 2 + 11x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 11x = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 13 + -2 11x = 13 + -2 Combine like terms: 13 + -2 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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