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Simplifying 10(3x + -2) + -1(5x + -8) = 0 Reorder the terms: 10(-2 + 3x) + -1(5x + -8) = 0 (-2 * 10 + 3x * 10) + -1(5x + -8) = 0 (-20 + 30x) + -1(5x + -8) = 0 Reorder the terms: -20 + 30x + -1(-8 + 5x) = 0 -20 + 30x + (-8 * -1 + 5x * -1) = 0 -20 + 30x + (8 + -5x) = 0 Reorder the terms: -20 + 8 + 30x + -5x = 0 Combine like terms: -20 + 8 = -12 -12 + 30x + -5x = 0 Combine like terms: 30x + -5x = 25x -12 + 25x = 0 Solving -12 + 25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 25x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 25x = 0 + 12 25x = 0 + 12 Combine like terms: 0 + 12 = 12 25x = 12 Divide each side by '25'. x = 0.48 Simplifying x = 0.48
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