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Simplifying 30x + 42 = 35x + 40 Reorder the terms: 42 + 30x = 35x + 40 Reorder the terms: 42 + 30x = 40 + 35x Solving 42 + 30x = 40 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 42 + 30x + -35x = 40 + 35x + -35x Combine like terms: 30x + -35x = -5x 42 + -5x = 40 + 35x + -35x Combine like terms: 35x + -35x = 0 42 + -5x = 40 + 0 42 + -5x = 40 Add '-42' to each side of the equation. 42 + -42 + -5x = 40 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 40 + -42 -5x = 40 + -42 Combine like terms: 40 + -42 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4
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