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Simplifying 18x + 2(x + 2) = 3(x + 5) + 2x + 4 Reorder the terms: 18x + 2(2 + x) = 3(x + 5) + 2x + 4 18x + (2 * 2 + x * 2) = 3(x + 5) + 2x + 4 18x + (4 + 2x) = 3(x + 5) + 2x + 4 Reorder the terms: 4 + 18x + 2x = 3(x + 5) + 2x + 4 Combine like terms: 18x + 2x = 20x 4 + 20x = 3(x + 5) + 2x + 4 Reorder the terms: 4 + 20x = 3(5 + x) + 2x + 4 4 + 20x = (5 * 3 + x * 3) + 2x + 4 4 + 20x = (15 + 3x) + 2x + 4 Reorder the terms: 4 + 20x = 15 + 4 + 3x + 2x Combine like terms: 15 + 4 = 19 4 + 20x = 19 + 3x + 2x Combine like terms: 3x + 2x = 5x 4 + 20x = 19 + 5x Solving 4 + 20x = 19 + 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. 4 + 20x + -5x = 19 + 5x + -5x Combine like terms: 20x + -5x = 15x 4 + 15x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 15x = 19 + 0 4 + 15x = 19 Add '-4' to each side of the equation. 4 + -4 + 15x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 15x = 19 + -4 15x = 19 + -4 Combine like terms: 19 + -4 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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