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Simplifying 42 + 18x = 114 + 12x Solving 42 + 18x = 114 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + 18x + -12x = 114 + 12x + -12x Combine like terms: 18x + -12x = 6x 42 + 6x = 114 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + 6x = 114 + 0 42 + 6x = 114 Add '-42' to each side of the equation. 42 + -42 + 6x = 114 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 114 + -42 6x = 114 + -42 Combine like terms: 114 + -42 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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