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Simplifying [2(x + -5) + -5] + 5(x + -1) + 5 = 0 Reorder the terms: [2(-5 + x) + -5] + 5(x + -1) + 5 = 0 [(-5 * 2 + x * 2) + -5] + 5(x + -1) + 5 = 0 [(-10 + 2x) + -5] + 5(x + -1) + 5 = 0 Reorder the terms: [-10 + -5 + 2x] + 5(x + -1) + 5 = 0 Combine like terms: -10 + -5 = -15 [-15 + 2x] + 5(x + -1) + 5 = 0 Remove brackets around [-15 + 2x] -15 + 2x + 5(x + -1) + 5 = 0 Reorder the terms: -15 + 2x + 5(-1 + x) + 5 = 0 -15 + 2x + (-1 * 5 + x * 5) + 5 = 0 -15 + 2x + (-5 + 5x) + 5 = 0 Reorder the terms: -15 + -5 + 5 + 2x + 5x = 0 Combine like terms: -15 + -5 = -20 -20 + 5 + 2x + 5x = 0 Combine like terms: -20 + 5 = -15 -15 + 2x + 5x = 0 Combine like terms: 2x + 5x = 7x -15 + 7x = 0 Solving -15 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 0 + 15 7x = 0 + 15 Combine like terms: 0 + 15 = 15 7x = 15 Divide each side by '7'. x = 2.142857143 Simplifying x = 2.142857143
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