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Simplifying 5 + -5(-9x + -5) = 4(1 + 8x) Reorder the terms: 5 + -5(-5 + -9x) = 4(1 + 8x) 5 + (-5 * -5 + -9x * -5) = 4(1 + 8x) 5 + (25 + 45x) = 4(1 + 8x) Combine like terms: 5 + 25 = 30 30 + 45x = 4(1 + 8x) 30 + 45x = (1 * 4 + 8x * 4) 30 + 45x = (4 + 32x) Solving 30 + 45x = 4 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 30 + 45x + -32x = 4 + 32x + -32x Combine like terms: 45x + -32x = 13x 30 + 13x = 4 + 32x + -32x Combine like terms: 32x + -32x = 0 30 + 13x = 4 + 0 30 + 13x = 4 Add '-30' to each side of the equation. 30 + -30 + 13x = 4 + -30 Combine like terms: 30 + -30 = 0 0 + 13x = 4 + -30 13x = 4 + -30 Combine like terms: 4 + -30 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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