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Simplifying 20x + -18 = 5(3x + 5) + 2 Reorder the terms: -18 + 20x = 5(3x + 5) + 2 Reorder the terms: -18 + 20x = 5(5 + 3x) + 2 -18 + 20x = (5 * 5 + 3x * 5) + 2 -18 + 20x = (25 + 15x) + 2 Reorder the terms: -18 + 20x = 25 + 2 + 15x Combine like terms: 25 + 2 = 27 -18 + 20x = 27 + 15x Solving -18 + 20x = 27 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -18 + 20x + -15x = 27 + 15x + -15x Combine like terms: 20x + -15x = 5x -18 + 5x = 27 + 15x + -15x Combine like terms: 15x + -15x = 0 -18 + 5x = 27 + 0 -18 + 5x = 27 Add '18' to each side of the equation. -18 + 18 + 5x = 27 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 27 + 18 5x = 27 + 18 Combine like terms: 27 + 18 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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