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Simplifying 6(2x + 1) = 10x + 4 Reorder the terms: 6(1 + 2x) = 10x + 4 (1 * 6 + 2x * 6) = 10x + 4 (6 + 12x) = 10x + 4 Reorder the terms: 6 + 12x = 4 + 10x Solving 6 + 12x = 4 + 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 = 4 + 10x + -10x Combine like terms: 12x + -10x = 2x 6 + 2x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 2x = 4 + 0 6 + 2x = 4 Add '-6' to each side of the equation. 6 + -6 + 2x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 4 + -6 2x = 4 + -6 Combine like terms: 4 + -6 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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