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Simplifying 42 + -5x = 18 + 7x Solving 42 + -5x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + -5x + -7x = 18 + 7x + -7x Combine like terms: -5x + -7x = -12x 42 + -12x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -12x = 18 + 0 42 + -12x = 18 Add '-42' to each side of the equation. 42 + -42 + -12x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -12x = 18 + -42 -12x = 18 + -42 Combine like terms: 18 + -42 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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