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Simplifying [2(x + -5) + -2] + [5(x + -1) + 5] = 0 Reorder the terms: [2(-5 + x) + -2] + [5(x + -1) + 5] = 0 [(-5 * 2 + x * 2) + -2] + [5(x + -1) + 5] = 0 [(-10 + 2x) + -2] + [5(x + -1) + 5] = 0 Reorder the terms: [-10 + -2 + 2x] + [5(x + -1) + 5] = 0 Combine like terms: -10 + -2 = -12 [-12 + 2x] + [5(x + -1) + 5] = 0 Remove brackets around [-12 + 2x] -12 + 2x + [5(x + -1) + 5] = 0 Reorder the terms: -12 + 2x + [5(-1 + x) + 5] = 0 -12 + 2x + [(-1 * 5 + x * 5) + 5] = 0 -12 + 2x + [(-5 + 5x) + 5] = 0 Reorder the terms: -12 + 2x + [-5 + 5 + 5x] = 0 Combine like terms: -5 + 5 = 0 -12 + 2x + [0 + 5x] = 0 -12 + 2x + [5x] = 0 -12 + 2x + [5x] = 0 Combine like terms: 2x + [5x] = 7x -12 + 7x = 0 Solving -12 + 7x = 0 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 + 7x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 0 + 12 7x = 0 + 12 Combine like terms: 0 + 12 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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