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Simplifying 6x + -5[9(x + 6) + -1(x + -5)] + -5 = 0 Reorder the terms: 6x + -5[9(6 + x) + -1(x + -5)] + -5 = 0 6x + -5[(6 * 9 + x * 9) + -1(x + -5)] + -5 = 0 6x + -5[(54 + 9x) + -1(x + -5)] + -5 = 0 Reorder the terms: 6x + -5[54 + 9x + -1(-5 + x)] + -5 = 0 6x + -5[54 + 9x + (-5 * -1 + x * -1)] + -5 = 0 6x + -5[54 + 9x + (5 + -1x)] + -5 = 0 Reorder the terms: 6x + -5[54 + 5 + 9x + -1x] + -5 = 0 Combine like terms: 54 + 5 = 59 6x + -5[59 + 9x + -1x] + -5 = 0 Combine like terms: 9x + -1x = 8x 6x + -5[59 + 8x] + -5 = 0 6x + [59 * -5 + 8x * -5] + -5 = 0 6x + [-295 + -40x] + -5 = 0 Reorder the terms: -295 + -5 + 6x + -40x = 0 Combine like terms: -295 + -5 = -300 -300 + 6x + -40x = 0 Combine like terms: 6x + -40x = -34x -300 + -34x = 0 Solving -300 + -34x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '300' to each side of the equation. -300 + 300 + -34x = 0 + 300 Combine like terms: -300 + 300 = 0 0 + -34x = 0 + 300 -34x = 0 + 300 Combine like terms: 0 + 300 = 300 -34x = 300 Divide each side by '-34'. x = -8.823529412 Simplifying x = -8.823529412
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