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Simplifying 8(x + 3) = 6x + 42 Reorder the terms: 8(3 + x) = 6x + 42 (3 * 8 + x * 8) = 6x + 42 (24 + 8x) = 6x + 42 Reorder the terms: 24 + 8x = 42 + 6x Solving 24 + 8x = 42 + 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. 24 + 8x + -6x = 42 + 6x + -6x Combine like terms: 8x + -6x = 2x 24 + 2x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 2x = 42 + 0 24 + 2x = 42 Add '-24' to each side of the equation. 24 + -24 + 2x = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 42 + -24 2x = 42 + -24 Combine like terms: 42 + -24 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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