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Simplifying 3x + 2(x + 6) = 3x + 4 Reorder the terms: 3x + 2(6 + x) = 3x + 4 3x + (6 * 2 + x * 2) = 3x + 4 3x + (12 + 2x) = 3x + 4 Reorder the terms: 12 + 3x + 2x = 3x + 4 Combine like terms: 3x + 2x = 5x 12 + 5x = 3x + 4 Reorder the terms: 12 + 5x = 4 + 3x Solving 12 + 5x = 4 + 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. 12 + 5x + -3x = 4 + 3x + -3x Combine like terms: 5x + -3x = 2x 12 + 2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 2x = 4 + 0 12 + 2x = 4 Add '-12' to each side of the equation. 12 + -12 + 2x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 4 + -12 2x = 4 + -12 Combine like terms: 4 + -12 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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