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Simplifying -3(4x + 5) + 2(-5x + 8) = 0 Reorder the terms: -3(5 + 4x) + 2(-5x + 8) = 0 (5 * -3 + 4x * -3) + 2(-5x + 8) = 0 (-15 + -12x) + 2(-5x + 8) = 0 Reorder the terms: -15 + -12x + 2(8 + -5x) = 0 -15 + -12x + (8 * 2 + -5x * 2) = 0 -15 + -12x + (16 + -10x) = 0 Reorder the terms: -15 + 16 + -12x + -10x = 0 Combine like terms: -15 + 16 = 1 1 + -12x + -10x = 0 Combine like terms: -12x + -10x = -22x 1 + -22x = 0 Solving 1 + -22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -22x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -22x = 0 + -1 -22x = 0 + -1 Combine like terms: 0 + -1 = -1 -22x = -1 Divide each side by '-22'. x = 0.04545454545 Simplifying x = 0.04545454545
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