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Simplifying 42 = 2x + 6x + 1 Reorder the terms: 42 = 1 + 2x + 6x Combine like terms: 2x + 6x = 8x 42 = 1 + 8x Solving 42 = 1 + 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 + -8x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -8x = 1 + 0 42 + -8x = 1 Add '-42' to each side of the equation. 42 + -42 + -8x = 1 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = 1 + -42 -8x = 1 + -42 Combine like terms: 1 + -42 = -41 -8x = -41 Divide each side by '-8'. x = 5.125 Simplifying x = 5.125
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