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Simplifying 4(2x + 5) + -3(5x + -5) = 1 Reorder the terms: 4(5 + 2x) + -3(5x + -5) = 1 (5 * 4 + 2x * 4) + -3(5x + -5) = 1 (20 + 8x) + -3(5x + -5) = 1 Reorder the terms: 20 + 8x + -3(-5 + 5x) = 1 20 + 8x + (-5 * -3 + 5x * -3) = 1 20 + 8x + (15 + -15x) = 1 Reorder the terms: 20 + 15 + 8x + -15x = 1 Combine like terms: 20 + 15 = 35 35 + 8x + -15x = 1 Combine like terms: 8x + -15x = -7x 35 + -7x = 1 Solving 35 + -7x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -7x = 1 + -35 Combine like terms: 35 + -35 = 0 0 + -7x = 1 + -35 -7x = 1 + -35 Combine like terms: 1 + -35 = -34 -7x = -34 Divide each side by '-7'. x = 4.857142857 Simplifying x = 4.857142857
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