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Simplifying 4(x + 2) + -5(x + -3) = 24 Reorder the terms: 4(2 + x) + -5(x + -3) = 24 (2 * 4 + x * 4) + -5(x + -3) = 24 (8 + 4x) + -5(x + -3) = 24 Reorder the terms: 8 + 4x + -5(-3 + x) = 24 8 + 4x + (-3 * -5 + x * -5) = 24 8 + 4x + (15 + -5x) = 24 Reorder the terms: 8 + 15 + 4x + -5x = 24 Combine like terms: 8 + 15 = 23 23 + 4x + -5x = 24 Combine like terms: 4x + -5x = -1x 23 + -1x = 24 Solving 23 + -1x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1x = 24 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 24 + -23 -1x = 24 + -23 Combine like terms: 24 + -23 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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