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Simplifying 5x + -1(3x + -5) + 7 = 24 Reorder the terms: 5x + -1(-5 + 3x) + 7 = 24 5x + (-5 * -1 + 3x * -1) + 7 = 24 5x + (5 + -3x) + 7 = 24 Reorder the terms: 5 + 7 + 5x + -3x = 24 Combine like terms: 5 + 7 = 12 12 + 5x + -3x = 24 Combine like terms: 5x + -3x = 2x 12 + 2x = 24 Solving 12 + 2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 24 + -12 2x = 24 + -12 Combine like terms: 24 + -12 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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