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Simplifying 6(2x + 3) = 8x + 42 Reorder the terms: 6(3 + 2x) = 8x + 42 (3 * 6 + 2x * 6) = 8x + 42 (18 + 12x) = 8x + 42 Reorder the terms: 18 + 12x = 42 + 8x Solving 18 + 12x = 42 + 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. 18 + 12x + -8x = 42 + 8x + -8x Combine like terms: 12x + -8x = 4x 18 + 4x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + 4x = 42 + 0 18 + 4x = 42 Add '-18' to each side of the equation. 18 + -18 + 4x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 42 + -18 4x = 42 + -18 Combine like terms: 42 + -18 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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