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Simplifying 2(4x + -15) = 3(x + 15) Reorder the terms: 2(-15 + 4x) = 3(x + 15) (-15 * 2 + 4x * 2) = 3(x + 15) (-30 + 8x) = 3(x + 15) Reorder the terms: -30 + 8x = 3(15 + x) -30 + 8x = (15 * 3 + x * 3) -30 + 8x = (45 + 3x) Solving -30 + 8x = 45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 8x + -3x = 45 + 3x + -3x Combine like terms: 8x + -3x = 5x -30 + 5x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 5x = 45 + 0 -30 + 5x = 45 Add '30' to each side of the equation. -30 + 30 + 5x = 45 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 45 + 30 5x = 45 + 30 Combine like terms: 45 + 30 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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