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Simplifying [9(x + 5) + -7] + [4(x + 12) + 9] = 0 Reorder the terms: [9(5 + x) + -7] + [4(x + 12) + 9] = 0 [(5 * 9 + x * 9) + -7] + [4(x + 12) + 9] = 0 [(45 + 9x) + -7] + [4(x + 12) + 9] = 0 Reorder the terms: [45 + -7 + 9x] + [4(x + 12) + 9] = 0 Combine like terms: 45 + -7 = 38 [38 + 9x] + [4(x + 12) + 9] = 0 Remove brackets around [38 + 9x] 38 + 9x + [4(x + 12) + 9] = 0 Reorder the terms: 38 + 9x + [4(12 + x) + 9] = 0 38 + 9x + [(12 * 4 + x * 4) + 9] = 0 38 + 9x + [(48 + 4x) + 9] = 0 Reorder the terms: 38 + 9x + [48 + 9 + 4x] = 0 Combine like terms: 48 + 9 = 57 38 + 9x + [57 + 4x] = 0 Remove brackets around [57 + 4x] 38 + 9x + 57 + 4x = 0 Reorder the terms: 38 + 57 + 9x + 4x = 0 Combine like terms: 38 + 57 = 95 95 + 9x + 4x = 0 Combine like terms: 9x + 4x = 13x 95 + 13x = 0 Solving 95 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + 13x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + 13x = 0 + -95 13x = 0 + -95 Combine like terms: 0 + -95 = -95 13x = -95 Divide each side by '13'. x = -7.307692308 Simplifying x = -7.307692308
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