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Simplifying 3(5x + 4) + -2(x + 7) = 24 Reorder the terms: 3(4 + 5x) + -2(x + 7) = 24 (4 * 3 + 5x * 3) + -2(x + 7) = 24 (12 + 15x) + -2(x + 7) = 24 Reorder the terms: 12 + 15x + -2(7 + x) = 24 12 + 15x + (7 * -2 + x * -2) = 24 12 + 15x + (-14 + -2x) = 24 Reorder the terms: 12 + -14 + 15x + -2x = 24 Combine like terms: 12 + -14 = -2 -2 + 15x + -2x = 24 Combine like terms: 15x + -2x = 13x -2 + 13x = 24 Solving -2 + 13x = 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 + 13x = 24 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 24 + 2 13x = 24 + 2 Combine like terms: 24 + 2 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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