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Simplifying 10 = 2(3x + 1) Reorder the terms: 10 = 2(1 + 3x) 10 = (1 * 2 + 3x * 2) 10 = (2 + 6x) Solving 10 = 2 + 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. 10 + -6x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -6x = 2 + 0 10 + -6x = 2 Add '-10' to each side of the equation. 10 + -10 + -6x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 2 + -10 -6x = 2 + -10 Combine like terms: 2 + -10 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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