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