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Simplifying 3(x + 50) = 5x Reorder the terms: 3(50 + x) = 5x (50 * 3 + x * 3) = 5x (150 + 3x) = 5x Solving 150 + 3x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 150 + 3x + -5x = 5x + -5x Combine like terms: 3x + -5x = -2x 150 + -2x = 5x + -5x Combine like terms: 5x + -5x = 0 150 + -2x = 0 Add '-150' to each side of the equation. 150 + -150 + -2x = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -2x = 0 + -150 -2x = 0 + -150 Combine like terms: 0 + -150 = -150 -2x = -150 Divide each side by '-2'. x = 75 Simplifying x = 75
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