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