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Simplifying [2(x + -5) + -6] + [9(x + -1) + 9] = 0 Reorder the terms: [2(-5 + x) + -6] + [9(x + -1) + 9] = 0 [(-5 * 2 + x * 2) + -6] + [9(x + -1) + 9] = 0 [(-10 + 2x) + -6] + [9(x + -1) + 9] = 0 Reorder the terms: [-10 + -6 + 2x] + [9(x + -1) + 9] = 0 Combine like terms: -10 + -6 = -16 [-16 + 2x] + [9(x + -1) + 9] = 0 Remove brackets around [-16 + 2x] -16 + 2x + [9(x + -1) + 9] = 0 Reorder the terms: -16 + 2x + [9(-1 + x) + 9] = 0 -16 + 2x + [(-1 * 9 + x * 9) + 9] = 0 -16 + 2x + [(-9 + 9x) + 9] = 0 Reorder the terms: -16 + 2x + [-9 + 9 + 9x] = 0 Combine like terms: -9 + 9 = 0 -16 + 2x + [0 + 9x] = 0 -16 + 2x + [9x] = 0 -16 + 2x + [9x] = 0 Combine like terms: 2x + [9x] = 11x -16 + 11x = 0 Solving -16 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 11x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = 0 + 16 11x = 0 + 16 Combine like terms: 0 + 16 = 16 11x = 16 Divide each side by '11'. x = 1.454545455 Simplifying x = 1.454545455
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