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Simplifying 8(x + 2) = 6(x + 4) Reorder the terms: 8(2 + x) = 6(x + 4) (2 * 8 + x * 8) = 6(x + 4) (16 + 8x) = 6(x + 4) Reorder the terms: 16 + 8x = 6(4 + x) 16 + 8x = (4 * 6 + x * 6) 16 + 8x = (24 + 6x) Solving 16 + 8x = 24 + 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. 16 + 8x + -6x = 24 + 6x + -6x Combine like terms: 8x + -6x = 2x 16 + 2x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + 2x = 24 + 0 16 + 2x = 24 Add '-16' to each side of the equation. 16 + -16 + 2x = 24 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 24 + -16 2x = 24 + -16 Combine like terms: 24 + -16 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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