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Simplifying 4x + 18 + 3x = 5(x + 20) Reorder the terms: 18 + 4x + 3x = 5(x + 20) Combine like terms: 4x + 3x = 7x 18 + 7x = 5(x + 20) Reorder the terms: 18 + 7x = 5(20 + x) 18 + 7x = (20 * 5 + x * 5) 18 + 7x = (100 + 5x) Solving 18 + 7x = 100 + 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. 18 + 7x + -5x = 100 + 5x + -5x Combine like terms: 7x + -5x = 2x 18 + 2x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 2x = 100 + 0 18 + 2x = 100 Add '-18' to each side of the equation. 18 + -18 + 2x = 100 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 100 + -18 2x = 100 + -18 Combine like terms: 100 + -18 = 82 2x = 82 Divide each side by '2'. x = 41 Simplifying x = 41
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