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Simplifying 6(5x + -15) = 4(5x + 10) Reorder the terms: 6(-15 + 5x) = 4(5x + 10) (-15 * 6 + 5x * 6) = 4(5x + 10) (-90 + 30x) = 4(5x + 10) Reorder the terms: -90 + 30x = 4(10 + 5x) -90 + 30x = (10 * 4 + 5x * 4) -90 + 30x = (40 + 20x) Solving -90 + 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. -90 + 30x + -20x = 40 + 20x + -20x Combine like terms: 30x + -20x = 10x -90 + 10x = 40 + 20x + -20x Combine like terms: 20x + -20x = 0 -90 + 10x = 40 + 0 -90 + 10x = 40 Add '90' to each side of the equation. -90 + 90 + 10x = 40 + 90 Combine like terms: -90 + 90 = 0 0 + 10x = 40 + 90 10x = 40 + 90 Combine like terms: 40 + 90 = 130 10x = 130 Divide each side by '10'. x = 13 Simplifying x = 13
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