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Simplifying 3(x + 4) + 2 = 6 + 4x Reorder the terms: 3(4 + x) + 2 = 6 + 4x (4 * 3 + x * 3) + 2 = 6 + 4x (12 + 3x) + 2 = 6 + 4x Reorder the terms: 12 + 2 + 3x = 6 + 4x Combine like terms: 12 + 2 = 14 14 + 3x = 6 + 4x Solving 14 + 3x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 3x + -4x = 6 + 4x + -4x Combine like terms: 3x + -4x = -1x 14 + -1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -1x = 6 + 0 14 + -1x = 6 Add '-14' to each side of the equation. 14 + -14 + -1x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 6 + -14 -1x = 6 + -14 Combine like terms: 6 + -14 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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