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Simplifying 24 + -3(5x + -7) + 2(5 + -1x) = 0 Reorder the terms: 24 + -3(-7 + 5x) + 2(5 + -1x) = 0 24 + (-7 * -3 + 5x * -3) + 2(5 + -1x) = 0 24 + (21 + -15x) + 2(5 + -1x) = 0 24 + 21 + -15x + (5 * 2 + -1x * 2) = 0 24 + 21 + -15x + (10 + -2x) = 0 Reorder the terms: 24 + 21 + 10 + -15x + -2x = 0 Combine like terms: 24 + 21 = 45 45 + 10 + -15x + -2x = 0 Combine like terms: 45 + 10 = 55 55 + -15x + -2x = 0 Combine like terms: -15x + -2x = -17x 55 + -17x = 0 Solving 55 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -17x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -17x = 0 + -55 -17x = 0 + -55 Combine like terms: 0 + -55 = -55 -17x = -55 Divide each side by '-17'. x = 3.235294118 Simplifying x = 3.235294118
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