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Simplifying 35x + 12 = 40x + 42 Reorder the terms: 12 + 35x = 40x + 42 Reorder the terms: 12 + 35x = 42 + 40x Solving 12 + 35x = 42 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 12 + 35x + -40x = 42 + 40x + -40x Combine like terms: 35x + -40x = -5x 12 + -5x = 42 + 40x + -40x Combine like terms: 40x + -40x = 0 12 + -5x = 42 + 0 12 + -5x = 42 Add '-12' to each side of the equation. 12 + -12 + -5x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 42 + -12 -5x = 42 + -12 Combine like terms: 42 + -12 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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