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Simplifying 9[6 + -1(-5x + -1)] = 315x + 117 Reorder the terms: 9[6 + -1(-1 + -5x)] = 315x + 117 9[6 + (-1 * -1 + -5x * -1)] = 315x + 117 9[6 + (1 + 5x)] = 315x + 117 Combine like terms: 6 + 1 = 7 9[7 + 5x] = 315x + 117 [7 * 9 + 5x * 9] = 315x + 117 [63 + 45x] = 315x + 117 Reorder the terms: 63 + 45x = 117 + 315x Solving 63 + 45x = 117 + 315x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-315x' to each side of the equation. 63 + 45x + -315x = 117 + 315x + -315x Combine like terms: 45x + -315x = -270x 63 + -270x = 117 + 315x + -315x Combine like terms: 315x + -315x = 0 63 + -270x = 117 + 0 63 + -270x = 117 Add '-63' to each side of the equation. 63 + -63 + -270x = 117 + -63 Combine like terms: 63 + -63 = 0 0 + -270x = 117 + -63 -270x = 117 + -63 Combine like terms: 117 + -63 = 54 -270x = 54 Divide each side by '-270'. x = -0.2 Simplifying x = -0.2
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