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Simplifying 3(x + 10) = 2(4x + 25) Reorder the terms: 3(10 + x) = 2(4x + 25) (10 * 3 + x * 3) = 2(4x + 25) (30 + 3x) = 2(4x + 25) Reorder the terms: 30 + 3x = 2(25 + 4x) 30 + 3x = (25 * 2 + 4x * 2) 30 + 3x = (50 + 8x) Solving 30 + 3x = 50 + 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 = 50 + 8x + -8x Combine like terms: 3x + -8x = -5x 30 + -5x = 50 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -5x = 50 + 0 30 + -5x = 50 Add '-30' to each side of the equation. 30 + -30 + -5x = 50 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 50 + -30 -5x = 50 + -30 Combine like terms: 50 + -30 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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