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Simplifying -2(4x + 5) + -3(-5x + 8) = 0 Reorder the terms: -2(5 + 4x) + -3(-5x + 8) = 0 (5 * -2 + 4x * -2) + -3(-5x + 8) = 0 (-10 + -8x) + -3(-5x + 8) = 0 Reorder the terms: -10 + -8x + -3(8 + -5x) = 0 -10 + -8x + (8 * -3 + -5x * -3) = 0 -10 + -8x + (-24 + 15x) = 0 Reorder the terms: -10 + -24 + -8x + 15x = 0 Combine like terms: -10 + -24 = -34 -34 + -8x + 15x = 0 Combine like terms: -8x + 15x = 7x -34 + 7x = 0 Solving -34 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 7x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 7x = 0 + 34 7x = 0 + 34 Combine like terms: 0 + 34 = 34 7x = 34 Divide each side by '7'. x = 4.857142857 Simplifying x = 4.857142857
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