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Simplifying 3x + 2 + 5x = 2(3x + 10) Reorder the terms: 2 + 3x + 5x = 2(3x + 10) Combine like terms: 3x + 5x = 8x 2 + 8x = 2(3x + 10) Reorder the terms: 2 + 8x = 2(10 + 3x) 2 + 8x = (10 * 2 + 3x * 2) 2 + 8x = (20 + 6x) Solving 2 + 8x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 8x + -6x = 20 + 6x + -6x Combine like terms: 8x + -6x = 2x 2 + 2x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 2x = 20 + 0 2 + 2x = 20 Add '-2' to each side of the equation. 2 + -2 + 2x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 20 + -2 2x = 20 + -2 Combine like terms: 20 + -2 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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