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Simplifying 2(4x + 14) = 12x + 16 Reorder the terms: 2(14 + 4x) = 12x + 16 (14 * 2 + 4x * 2) = 12x + 16 (28 + 8x) = 12x + 16 Reorder the terms: 28 + 8x = 16 + 12x Solving 28 + 8x = 16 + 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. 28 + 8x + -12x = 16 + 12x + -12x Combine like terms: 8x + -12x = -4x 28 + -4x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + -4x = 16 + 0 28 + -4x = 16 Add '-28' to each side of the equation. 28 + -28 + -4x = 16 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = 16 + -28 -4x = 16 + -28 Combine like terms: 16 + -28 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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