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Simplifying 1 = 2(3x + 5) + 3(2x + 5) Reorder the terms: 1 = 2(5 + 3x) + 3(2x + 5) 1 = (5 * 2 + 3x * 2) + 3(2x + 5) 1 = (10 + 6x) + 3(2x + 5) Reorder the terms: 1 = 10 + 6x + 3(5 + 2x) 1 = 10 + 6x + (5 * 3 + 2x * 3) 1 = 10 + 6x + (15 + 6x) Reorder the terms: 1 = 10 + 15 + 6x + 6x Combine like terms: 10 + 15 = 25 1 = 25 + 6x + 6x Combine like terms: 6x + 6x = 12x 1 = 25 + 12x Solving 1 = 25 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + -12x = 25 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -12x = 25 + 0 1 + -12x = 25 Add '-1' to each side of the equation. 1 + -1 + -12x = 25 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 25 + -1 -12x = 25 + -1 Combine like terms: 25 + -1 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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