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Simplifying 12x + 42 = 20x + 18 Reorder the terms: 42 + 12x = 20x + 18 Reorder the terms: 42 + 12x = 18 + 20x Solving 42 + 12x = 18 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 42 + 12x + -20x = 18 + 20x + -20x Combine like terms: 12x + -20x = -8x 42 + -8x = 18 + 20x + -20x Combine like terms: 20x + -20x = 0 42 + -8x = 18 + 0 42 + -8x = 18 Add '-42' to each side of the equation. 42 + -42 + -8x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = 18 + -42 -8x = 18 + -42 Combine like terms: 18 + -42 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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