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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 = -39 38 + 9x + [-39 + 4x] = 0 Remove brackets around [-39 + 4x] 38 + 9x + -39 + 4x = 0 Reorder the terms: 38 + -39 + 9x + 4x = 0 Combine like terms: 38 + -39 = -1 -1 + 9x + 4x = 0 Combine like terms: 9x + 4x = 13x -1 + 13x = 0 Solving -1 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 13x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 13x = 0 + 1 13x = 0 + 1 Combine like terms: 0 + 1 = 1 13x = 1 Divide each side by '13'. x = 0.07692307692 Simplifying x = 0.07692307692
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