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