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Simplifying 10(3x + -10) = 4(5x + 10) Reorder the terms: 10(-10 + 3x) = 4(5x + 10) (-10 * 10 + 3x * 10) = 4(5x + 10) (-100 + 30x) = 4(5x + 10) Reorder the terms: -100 + 30x = 4(10 + 5x) -100 + 30x = (10 * 4 + 5x * 4) -100 + 30x = (40 + 20x) Solving -100 + 30x = 40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -100 + 30x + -20x = 40 + 20x + -20x Combine like terms: 30x + -20x = 10x -100 + 10x = 40 + 20x + -20x Combine like terms: 20x + -20x = 0 -100 + 10x = 40 + 0 -100 + 10x = 40 Add '100' to each side of the equation. -100 + 100 + 10x = 40 + 100 Combine like terms: -100 + 100 = 0 0 + 10x = 40 + 100 10x = 40 + 100 Combine like terms: 40 + 100 = 140 10x = 140 Divide each side by '10'. x = 14 Simplifying x = 14
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