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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 = 0 -9 + 2x + [0 + 7x] = 0 -9 + 2x + [7x] = 0 -9 + 2x + [7x] = 0 Combine like terms: 2x + [7x] = 9x -9 + 9x = 0 Solving -9 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 9x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 0 + 9 9x = 0 + 9 Combine like terms: 0 + 9 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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