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Simplifying 42 = 3x + 4x + 7 Reorder the terms: 42 = 7 + 3x + 4x Combine like terms: 3x + 4x = 7x 42 = 7 + 7x Solving 42 = 7 + 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 + -7x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -7x = 7 + 0 42 + -7x = 7 Add '-42' to each side of the equation. 42 + -42 + -7x = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = 7 + -42 -7x = 7 + -42 Combine like terms: 7 + -42 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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