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Simplifying 3(2x + 5) + x = (2x + 5) + 5 Reorder the terms: 3(5 + 2x) + x = (2x + 5) + 5 (5 * 3 + 2x * 3) + x = (2x + 5) + 5 (15 + 6x) + x = (2x + 5) + 5 Combine like terms: 6x + x = 7x 15 + 7x = (2x + 5) + 5 Reorder the terms: 15 + 7x = (5 + 2x) + 5 Remove parenthesis around (5 + 2x) 15 + 7x = 5 + 2x + 5 Reorder the terms: 15 + 7x = 5 + 5 + 2x Combine like terms: 5 + 5 = 10 15 + 7x = 10 + 2x Solving 15 + 7x = 10 + 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. 15 + 7x + -2x = 10 + 2x + -2x Combine like terms: 7x + -2x = 5x 15 + 5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 5x = 10 + 0 15 + 5x = 10 Add '-15' to each side of the equation. 15 + -15 + 5x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 10 + -15 5x = 10 + -15 Combine like terms: 10 + -15 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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