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Simplifying 5(x + 3) + -4(x + -1) = 24 Reorder the terms: 5(3 + x) + -4(x + -1) = 24 (3 * 5 + x * 5) + -4(x + -1) = 24 (15 + 5x) + -4(x + -1) = 24 Reorder the terms: 15 + 5x + -4(-1 + x) = 24 15 + 5x + (-1 * -4 + x * -4) = 24 15 + 5x + (4 + -4x) = 24 Reorder the terms: 15 + 4 + 5x + -4x = 24 Combine like terms: 15 + 4 = 19 19 + 5x + -4x = 24 Combine like terms: 5x + -4x = 1x 19 + 1x = 24 Solving 19 + 1x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1x = 24 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 24 + -19 1x = 24 + -19 Combine like terms: 24 + -19 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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