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Simplifying 4x + -6 = 42 + -2x Reorder the terms: -6 + 4x = 42 + -2x Solving -6 + 4x = 42 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 4x + 2x = 42 + -2x + 2x Combine like terms: 4x + 2x = 6x -6 + 6x = 42 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 6x = 42 + 0 -6 + 6x = 42 Add '6' to each side of the equation. -6 + 6 + 6x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 42 + 6 6x = 42 + 6 Combine like terms: 42 + 6 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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