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Simplifying 7(x + 4) = 6(x + 8) Reorder the terms: 7(4 + x) = 6(x + 8) (4 * 7 + x * 7) = 6(x + 8) (28 + 7x) = 6(x + 8) Reorder the terms: 28 + 7x = 6(8 + x) 28 + 7x = (8 * 6 + x * 6) 28 + 7x = (48 + 6x) Solving 28 + 7x = 48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + 7x + -6x = 48 + 6x + -6x Combine like terms: 7x + -6x = 1x 28 + 1x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + 1x = 48 + 0 28 + 1x = 48 Add '-28' to each side of the equation. 28 + -28 + 1x = 48 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 48 + -28 1x = 48 + -28 Combine like terms: 48 + -28 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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