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Simplifying 3x + 6 = 2(6x + 12) Reorder the terms: 6 + 3x = 2(6x + 12) Reorder the terms: 6 + 3x = 2(12 + 6x) 6 + 3x = (12 * 2 + 6x * 2) 6 + 3x = (24 + 12x) Solving 6 + 3x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 3x + -12x = 24 + 12x + -12x Combine like terms: 3x + -12x = -9x 6 + -9x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -9x = 24 + 0 6 + -9x = 24 Add '-6' to each side of the equation. 6 + -6 + -9x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 24 + -6 -9x = 24 + -6 Combine like terms: 24 + -6 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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