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Simplifying 5(x + 4) + 6(x + -3) = 24 Reorder the terms: 5(4 + x) + 6(x + -3) = 24 (4 * 5 + x * 5) + 6(x + -3) = 24 (20 + 5x) + 6(x + -3) = 24 Reorder the terms: 20 + 5x + 6(-3 + x) = 24 20 + 5x + (-3 * 6 + x * 6) = 24 20 + 5x + (-18 + 6x) = 24 Reorder the terms: 20 + -18 + 5x + 6x = 24 Combine like terms: 20 + -18 = 2 2 + 5x + 6x = 24 Combine like terms: 5x + 6x = 11x 2 + 11x = 24 Solving 2 + 11x = 24 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 = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 24 + -2 11x = 24 + -2 Combine like terms: 24 + -2 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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