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Simplifying 4x + 14 = 3(4x + 2) Reorder the terms: 14 + 4x = 3(4x + 2) Reorder the terms: 14 + 4x = 3(2 + 4x) 14 + 4x = (2 * 3 + 4x * 3) 14 + 4x = (6 + 12x) Solving 14 + 4x = 6 + 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. 14 + 4x + -12x = 6 + 12x + -12x Combine like terms: 4x + -12x = -8x 14 + -8x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -8x = 6 + 0 14 + -8x = 6 Add '-14' to each side of the equation. 14 + -14 + -8x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = 6 + -14 -8x = 6 + -14 Combine like terms: 6 + -14 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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