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Simplifying 3x + 4(x + 5) = 2x + 50 Reorder the terms: 3x + 4(5 + x) = 2x + 50 3x + (5 * 4 + x * 4) = 2x + 50 3x + (20 + 4x) = 2x + 50 Reorder the terms: 20 + 3x + 4x = 2x + 50 Combine like terms: 3x + 4x = 7x 20 + 7x = 2x + 50 Reorder the terms: 20 + 7x = 50 + 2x Solving 20 + 7x = 50 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + 7x + -2x = 50 + 2x + -2x Combine like terms: 7x + -2x = 5x 20 + 5x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 5x = 50 + 0 20 + 5x = 50 Add '-20' to each side of the equation. 20 + -20 + 5x = 50 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 50 + -20 5x = 50 + -20 Combine like terms: 50 + -20 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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