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Simplifying [9(x + 5) + -11] + -1[4(x + -5) + 9] = 0 Reorder the terms: [9(5 + x) + -11] + -1[4(x + -5) + 9] = 0 [(5 * 9 + x * 9) + -11] + -1[4(x + -5) + 9] = 0 [(45 + 9x) + -11] + -1[4(x + -5) + 9] = 0 Reorder the terms: [45 + -11 + 9x] + -1[4(x + -5) + 9] = 0 Combine like terms: 45 + -11 = 34 [34 + 9x] + -1[4(x + -5) + 9] = 0 Remove brackets around [34 + 9x] 34 + 9x + -1[4(x + -5) + 9] = 0 Reorder the terms: 34 + 9x + -1[4(-5 + x) + 9] = 0 34 + 9x + -1[(-5 * 4 + x * 4) + 9] = 0 34 + 9x + -1[(-20 + 4x) + 9] = 0 Reorder the terms: 34 + 9x + -1[-20 + 9 + 4x] = 0 Combine like terms: -20 + 9 = -11 34 + 9x + -1[-11 + 4x] = 0 34 + 9x + [-11 * -1 + 4x * -1] = 0 34 + 9x + [11 + -4x] = 0 Reorder the terms: 34 + 11 + 9x + -4x = 0 Combine like terms: 34 + 11 = 45 45 + 9x + -4x = 0 Combine like terms: 9x + -4x = 5x 45 + 5x = 0 Solving 45 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 5x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 0 + -45 5x = 0 + -45 Combine like terms: 0 + -45 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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