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Simplifying 3x + 6 = (3x + 2) * 4 Reorder the terms: 6 + 3x = (3x + 2) * 4 Reorder the terms: 6 + 3x = (2 + 3x) * 4 Reorder the terms for easier multiplication: 6 + 3x = 4(2 + 3x) 6 + 3x = (2 * 4 + 3x * 4) 6 + 3x = (8 + 12x) Solving 6 + 3x = 8 + 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 = 8 + 12x + -12x Combine like terms: 3x + -12x = -9x 6 + -9x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -9x = 8 + 0 6 + -9x = 8 Add '-6' to each side of the equation. 6 + -6 + -9x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 8 + -6 -9x = 8 + -6 Combine like terms: 8 + -6 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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