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Simplifying 6x + -42 = 4x + 12 Reorder the terms: -42 + 6x = 4x + 12 Reorder the terms: -42 + 6x = 12 + 4x Solving -42 + 6x = 12 + 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. -42 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x -42 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 2x = 12 + 0 -42 + 2x = 12 Add '42' to each side of the equation. -42 + 42 + 2x = 12 + 42 Combine like terms: -42 + 42 = 0 0 + 2x = 12 + 42 2x = 12 + 42 Combine like terms: 12 + 42 = 54 2x = 54 Divide each side by '2'. x = 27 Simplifying x = 27
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