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Simplifying 9[5 + -1(-5x + -1)] = 405x + 126 Reorder the terms: 9[5 + -1(-1 + -5x)] = 405x + 126 9[5 + (-1 * -1 + -5x * -1)] = 405x + 126 9[5 + (1 + 5x)] = 405x + 126 Combine like terms: 5 + 1 = 6 9[6 + 5x] = 405x + 126 [6 * 9 + 5x * 9] = 405x + 126 [54 + 45x] = 405x + 126 Reorder the terms: 54 + 45x = 126 + 405x Solving 54 + 45x = 126 + 405x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-405x' to each side of the equation. 54 + 45x + -405x = 126 + 405x + -405x Combine like terms: 45x + -405x = -360x 54 + -360x = 126 + 405x + -405x Combine like terms: 405x + -405x = 0 54 + -360x = 126 + 0 54 + -360x = 126 Add '-54' to each side of the equation. 54 + -54 + -360x = 126 + -54 Combine like terms: 54 + -54 = 0 0 + -360x = 126 + -54 -360x = 126 + -54 Combine like terms: 126 + -54 = 72 -360x = 72 Divide each side by '-360'. x = -0.2 Simplifying x = -0.2
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