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Simplifying 3(x + 4) + 2x = 4x + 14 Reorder the terms: 3(4 + x) + 2x = 4x + 14 (4 * 3 + x * 3) + 2x = 4x + 14 (12 + 3x) + 2x = 4x + 14 Combine like terms: 3x + 2x = 5x 12 + 5x = 4x + 14 Reorder the terms: 12 + 5x = 14 + 4x Solving 12 + 5x = 14 + 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. 12 + 5x + -4x = 14 + 4x + -4x Combine like terms: 5x + -4x = 1x 12 + 1x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 1x = 14 + 0 12 + 1x = 14 Add '-12' to each side of the equation. 12 + -12 + 1x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 14 + -12 1x = 14 + -12 Combine like terms: 14 + -12 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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