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Simplifying [2(x + -2) + -5] + [7(x + 1) + 7] = 0 Reorder the terms: [2(-2 + x) + -5] + [7(x + 1) + 7] = 0 [(-2 * 2 + x * 2) + -5] + [7(x + 1) + 7] = 0 [(-4 + 2x) + -5] + [7(x + 1) + 7] = 0 Reorder the terms: [-4 + -5 + 2x] + [7(x + 1) + 7] = 0 Combine like terms: -4 + -5 = -9 [-9 + 2x] + [7(x + 1) + 7] = 0 Remove brackets around [-9 + 2x] -9 + 2x + [7(x + 1) + 7] = 0 Reorder the terms: -9 + 2x + [7(1 + x) + 7] = 0 -9 + 2x + [(1 * 7 + x * 7) + 7] = 0 -9 + 2x + [(7 + 7x) + 7] = 0 Reorder the terms: -9 + 2x + [7 + 7 + 7x] = 0 Combine like terms: 7 + 7 = 14 -9 + 2x + [14 + 7x] = 0 Remove brackets around [14 + 7x] -9 + 2x + 14 + 7x = 0 Reorder the terms: -9 + 14 + 2x + 7x = 0 Combine like terms: -9 + 14 = 5 5 + 2x + 7x = 0 Combine like terms: 2x + 7x = 9x 5 + 9x = 0 Solving 5 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 0 + -5 9x = 0 + -5 Combine like terms: 0 + -5 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556
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