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Simplifying 4(2x + 5) + -3(5x + -2) = 0 Reorder the terms: 4(5 + 2x) + -3(5x + -2) = 0 (5 * 4 + 2x * 4) + -3(5x + -2) = 0 (20 + 8x) + -3(5x + -2) = 0 Reorder the terms: 20 + 8x + -3(-2 + 5x) = 0 20 + 8x + (-2 * -3 + 5x * -3) = 0 20 + 8x + (6 + -15x) = 0 Reorder the terms: 20 + 6 + 8x + -15x = 0 Combine like terms: 20 + 6 = 26 26 + 8x + -15x = 0 Combine like terms: 8x + -15x = -7x 26 + -7x = 0 Solving 26 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -7x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -7x = 0 + -26 -7x = 0 + -26 Combine like terms: 0 + -26 = -26 -7x = -26 Divide each side by '-7'. x = 3.714285714 Simplifying x = 3.714285714
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