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Simplifying 3(x + 5) = 2(4x + 30) Reorder the terms: 3(5 + x) = 2(4x + 30) (5 * 3 + x * 3) = 2(4x + 30) (15 + 3x) = 2(4x + 30) Reorder the terms: 15 + 3x = 2(30 + 4x) 15 + 3x = (30 * 2 + 4x * 2) 15 + 3x = (60 + 8x) Solving 15 + 3x = 60 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 3x + -8x = 60 + 8x + -8x Combine like terms: 3x + -8x = -5x 15 + -5x = 60 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -5x = 60 + 0 15 + -5x = 60 Add '-15' to each side of the equation. 15 + -15 + -5x = 60 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 60 + -15 -5x = 60 + -15 Combine like terms: 60 + -15 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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