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Simplifying 6x + 30 = 4x + 42 Reorder the terms: 30 + 6x = 4x + 42 Reorder the terms: 30 + 6x = 42 + 4x Solving 30 + 6x = 42 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + 6x + -4x = 42 + 4x + -4x Combine like terms: 6x + -4x = 2x 30 + 2x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 2x = 42 + 0 30 + 2x = 42 Add '-30' to each side of the equation. 30 + -30 + 2x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 42 + -30 2x = 42 + -30 Combine like terms: 42 + -30 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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