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Simplifying 6(7 + 2x) = 3x + 6 (7 * 6 + 2x * 6) = 3x + 6 (42 + 12x) = 3x + 6 Reorder the terms: 42 + 12x = 6 + 3x Solving 42 + 12x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 42 + 12x + -3x = 6 + 3x + -3x Combine like terms: 12x + -3x = 9x 42 + 9x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 9x = 6 + 0 42 + 9x = 6 Add '-42' to each side of the equation. 42 + -42 + 9x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 9x = 6 + -42 9x = 6 + -42 Combine like terms: 6 + -42 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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