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Simplifying 0 = 5(x + 3) + 2(x + -5) Reorder the terms: 0 = 5(3 + x) + 2(x + -5) 0 = (3 * 5 + x * 5) + 2(x + -5) 0 = (15 + 5x) + 2(x + -5) Reorder the terms: 0 = 15 + 5x + 2(-5 + x) 0 = 15 + 5x + (-5 * 2 + x * 2) 0 = 15 + 5x + (-10 + 2x) Reorder the terms: 0 = 15 + -10 + 5x + 2x Combine like terms: 15 + -10 = 5 0 = 5 + 5x + 2x Combine like terms: 5x + 2x = 7x 0 = 5 + 7x Solving 0 = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 0 + -7x = 5 + 7x + -7x Remove the zero: -7x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -7x = 5 + 0 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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