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Simplifying -15(4 + -2x) + -10(-3 + -5x) = 0 (4 * -15 + -2x * -15) + -10(-3 + -5x) = 0 (-60 + 30x) + -10(-3 + -5x) = 0 -60 + 30x + (-3 * -10 + -5x * -10) = 0 -60 + 30x + (30 + 50x) = 0 Reorder the terms: -60 + 30 + 30x + 50x = 0 Combine like terms: -60 + 30 = -30 -30 + 30x + 50x = 0 Combine like terms: 30x + 50x = 80x -30 + 80x = 0 Solving -30 + 80x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 80x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 80x = 0 + 30 80x = 0 + 30 Combine like terms: 0 + 30 = 30 80x = 30 Divide each side by '80'. x = 0.375 Simplifying x = 0.375
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