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Simplifying 10(2x + -1) + 5(3x + -4) = 180 Reorder the terms: 10(-1 + 2x) + 5(3x + -4) = 180 (-1 * 10 + 2x * 10) + 5(3x + -4) = 180 (-10 + 20x) + 5(3x + -4) = 180 Reorder the terms: -10 + 20x + 5(-4 + 3x) = 180 -10 + 20x + (-4 * 5 + 3x * 5) = 180 -10 + 20x + (-20 + 15x) = 180 Reorder the terms: -10 + -20 + 20x + 15x = 180 Combine like terms: -10 + -20 = -30 -30 + 20x + 15x = 180 Combine like terms: 20x + 15x = 35x -30 + 35x = 180 Solving -30 + 35x = 180 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 + 35x = 180 + 30 Combine like terms: -30 + 30 = 0 0 + 35x = 180 + 30 35x = 180 + 30 Combine like terms: 180 + 30 = 210 35x = 210 Divide each side by '35'. x = 6 Simplifying x = 6
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