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Simplifying [9(x + 5) + -18] + -1[3(x + -3) + 2] = 0 Reorder the terms: [9(5 + x) + -18] + -1[3(x + -3) + 2] = 0 [(5 * 9 + x * 9) + -18] + -1[3(x + -3) + 2] = 0 [(45 + 9x) + -18] + -1[3(x + -3) + 2] = 0 Reorder the terms: [45 + -18 + 9x] + -1[3(x + -3) + 2] = 0 Combine like terms: 45 + -18 = 27 [27 + 9x] + -1[3(x + -3) + 2] = 0 Remove brackets around [27 + 9x] 27 + 9x + -1[3(x + -3) + 2] = 0 Reorder the terms: 27 + 9x + -1[3(-3 + x) + 2] = 0 27 + 9x + -1[(-3 * 3 + x * 3) + 2] = 0 27 + 9x + -1[(-9 + 3x) + 2] = 0 Reorder the terms: 27 + 9x + -1[-9 + 2 + 3x] = 0 Combine like terms: -9 + 2 = -7 27 + 9x + -1[-7 + 3x] = 0 27 + 9x + [-7 * -1 + 3x * -1] = 0 27 + 9x + [7 + -3x] = 0 Reorder the terms: 27 + 7 + 9x + -3x = 0 Combine like terms: 27 + 7 = 34 34 + 9x + -3x = 0 Combine like terms: 9x + -3x = 6x 34 + 6x = 0 Solving 34 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 6x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 6x = 0 + -34 6x = 0 + -34 Combine like terms: 0 + -34 = -34 6x = -34 Divide each side by '6'. x = -5.666666667 Simplifying x = -5.666666667
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