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Simplifying 4x + -6 = 42 + -4x Reorder the terms: -6 + 4x = 42 + -4x Solving -6 + 4x = 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. -6 + 4x + 4x = 42 + -4x + 4x Combine like terms: 4x + 4x = 8x -6 + 8x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 8x = 42 + 0 -6 + 8x = 42 Add '6' to each side of the equation. -6 + 6 + 8x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 42 + 6 8x = 42 + 6 Combine like terms: 42 + 6 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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