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Simplifying 5[6 + -2(5x + 1)] = 8x + -9 Reorder the terms: 5[6 + -2(1 + 5x)] = 8x + -9 5[6 + (1 * -2 + 5x * -2)] = 8x + -9 5[6 + (-2 + -10x)] = 8x + -9 Combine like terms: 6 + -2 = 4 5[4 + -10x] = 8x + -9 [4 * 5 + -10x * 5] = 8x + -9 [20 + -50x] = 8x + -9 Reorder the terms: 20 + -50x = -9 + 8x Solving 20 + -50x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + -50x + -8x = -9 + 8x + -8x Combine like terms: -50x + -8x = -58x 20 + -58x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -58x = -9 + 0 20 + -58x = -9 Add '-20' to each side of the equation. 20 + -20 + -58x = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -58x = -9 + -20 -58x = -9 + -20 Combine like terms: -9 + -20 = -29 -58x = -29 Divide each side by '-58'. x = 0.5 Simplifying x = 0.5
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