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Simplifying 4(4x + 1) + -5(3x + -1) = 24 Reorder the terms: 4(1 + 4x) + -5(3x + -1) = 24 (1 * 4 + 4x * 4) + -5(3x + -1) = 24 (4 + 16x) + -5(3x + -1) = 24 Reorder the terms: 4 + 16x + -5(-1 + 3x) = 24 4 + 16x + (-1 * -5 + 3x * -5) = 24 4 + 16x + (5 + -15x) = 24 Reorder the terms: 4 + 5 + 16x + -15x = 24 Combine like terms: 4 + 5 = 9 9 + 16x + -15x = 24 Combine like terms: 16x + -15x = 1x 9 + 1x = 24 Solving 9 + 1x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 24 + -9 1x = 24 + -9 Combine like terms: 24 + -9 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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