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Simplifying 7(x + 4) = 2(x + 34) Reorder the terms: 7(4 + x) = 2(x + 34) (4 * 7 + x * 7) = 2(x + 34) (28 + 7x) = 2(x + 34) Reorder the terms: 28 + 7x = 2(34 + x) 28 + 7x = (34 * 2 + x * 2) 28 + 7x = (68 + 2x) Solving 28 + 7x = 68 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + 7x + -2x = 68 + 2x + -2x Combine like terms: 7x + -2x = 5x 28 + 5x = 68 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 5x = 68 + 0 28 + 5x = 68 Add '-28' to each side of the equation. 28 + -28 + 5x = 68 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = 68 + -28 5x = 68 + -28 Combine like terms: 68 + -28 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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