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Simplifying 3(x + 10) = 2(4x + 30) Reorder the terms: 3(10 + x) = 2(4x + 30) (10 * 3 + x * 3) = 2(4x + 30) (30 + 3x) = 2(4x + 30) Reorder the terms: 30 + 3x = 2(30 + 4x) 30 + 3x = (30 * 2 + 4x * 2) 30 + 3x = (60 + 8x) Solving 30 + 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. 30 + 3x + -8x = 60 + 8x + -8x Combine like terms: 3x + -8x = -5x 30 + -5x = 60 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -5x = 60 + 0 30 + -5x = 60 Add '-30' to each side of the equation. 30 + -30 + -5x = 60 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 60 + -30 -5x = 60 + -30 Combine like terms: 60 + -30 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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