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Simplifying 2(3x + 7) = 4(7 + -2x) Reorder the terms: 2(7 + 3x) = 4(7 + -2x) (7 * 2 + 3x * 2) = 4(7 + -2x) (14 + 6x) = 4(7 + -2x) 14 + 6x = (7 * 4 + -2x * 4) 14 + 6x = (28 + -8x) Solving 14 + 6x = 28 + -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. 14 + 6x + 8x = 28 + -8x + 8x Combine like terms: 6x + 8x = 14x 14 + 14x = 28 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 14x = 28 + 0 14 + 14x = 28 Add '-14' to each side of the equation. 14 + -14 + 14x = 28 + -14 Combine like terms: 14 + -14 = 0 0 + 14x = 28 + -14 14x = 28 + -14 Combine like terms: 28 + -14 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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