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Simplifying 42 + -6x = 48 + -8x Solving 42 + -6x = 48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 42 + -6x + 8x = 48 + -8x + 8x Combine like terms: -6x + 8x = 2x 42 + 2x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 2x = 48 + 0 42 + 2x = 48 Add '-42' to each side of the equation. 42 + -42 + 2x = 48 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 48 + -42 2x = 48 + -42 Combine like terms: 48 + -42 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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