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Simplifying 8(x + 2) = 7(x + 6) Reorder the terms: 8(2 + x) = 7(x + 6) (2 * 8 + x * 8) = 7(x + 6) (16 + 8x) = 7(x + 6) Reorder the terms: 16 + 8x = 7(6 + x) 16 + 8x = (6 * 7 + x * 7) 16 + 8x = (42 + 7x) Solving 16 + 8x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + 8x + -7x = 42 + 7x + -7x Combine like terms: 8x + -7x = 1x 16 + 1x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 1x = 42 + 0 16 + 1x = 42 Add '-16' to each side of the equation. 16 + -16 + 1x = 42 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 42 + -16 1x = 42 + -16 Combine like terms: 42 + -16 = 26 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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