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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 = -31 -31 + -12x + 10x = 0 Combine like terms: -12x + 10x = -2x -31 + -2x = 0 Solving -31 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -2x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -2x = 0 + 31 -2x = 0 + 31 Combine like terms: 0 + 31 = 31 -2x = 31 Divide each side by '-2'. x = -15.5 Simplifying x = -15.5
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