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Simplifying 3(x + 4) + 2 = 2(x + 6) + 2x Reorder the terms: 3(4 + x) + 2 = 2(x + 6) + 2x (4 * 3 + x * 3) + 2 = 2(x + 6) + 2x (12 + 3x) + 2 = 2(x + 6) + 2x Reorder the terms: 12 + 2 + 3x = 2(x + 6) + 2x Combine like terms: 12 + 2 = 14 14 + 3x = 2(x + 6) + 2x Reorder the terms: 14 + 3x = 2(6 + x) + 2x 14 + 3x = (6 * 2 + x * 2) + 2x 14 + 3x = (12 + 2x) + 2x Combine like terms: 2x + 2x = 4x 14 + 3x = 12 + 4x Solving 14 + 3x = 12 + 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 = 12 + 4x + -4x Combine like terms: 3x + -4x = -1x 14 + -1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -1x = 12 + 0 14 + -1x = 12 Add '-14' to each side of the equation. 14 + -14 + -1x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 12 + -14 -1x = 12 + -14 Combine like terms: 12 + -14 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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