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Simplifying 8x + -6 = 6x + 42 Reorder the terms: -6 + 8x = 6x + 42 Reorder the terms: -6 + 8x = 42 + 6x Solving -6 + 8x = 42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 8x + -6x = 42 + 6x + -6x Combine like terms: 8x + -6x = 2x -6 + 2x = 42 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 2x = 42 + 0 -6 + 2x = 42 Add '6' to each side of the equation. -6 + 6 + 2x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 42 + 6 2x = 42 + 6 Combine like terms: 42 + 6 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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