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Simplifying 14(x + 2) = 4(7 + -2x) Reorder the terms: 14(2 + x) = 4(7 + -2x) (2 * 14 + x * 14) = 4(7 + -2x) (28 + 14x) = 4(7 + -2x) 28 + 14x = (7 * 4 + -2x * 4) 28 + 14x = (28 + -8x) Add '-28' to each side of the equation. 28 + -28 + 14x = 28 + -28 + -8x Combine like terms: 28 + -28 = 0 0 + 14x = 28 + -28 + -8x 14x = 28 + -28 + -8x Combine like terms: 28 + -28 = 0 14x = 0 + -8x 14x = -8x Solving 14x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 14x + 8x = -8x + 8x Combine like terms: 14x + 8x = 22x 22x = -8x + 8x Combine like terms: -8x + 8x = 0 22x = 0 Divide each side by '22'. x = 0 Simplifying x = 0
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