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Simplifying 3(x + 6) + 2x = 2x + 42 Reorder the terms: 3(6 + x) + 2x = 2x + 42 (6 * 3 + x * 3) + 2x = 2x + 42 (18 + 3x) + 2x = 2x + 42 Combine like terms: 3x + 2x = 5x 18 + 5x = 2x + 42 Reorder the terms: 18 + 5x = 42 + 2x Solving 18 + 5x = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + 5x + -2x = 42 + 2x + -2x Combine like terms: 5x + -2x = 3x 18 + 3x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 3x = 42 + 0 18 + 3x = 42 Add '-18' to each side of the equation. 18 + -18 + 3x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 42 + -18 3x = 42 + -18 Combine like terms: 42 + -18 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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