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Simplifying 2x + 42 + -6x = 1 + -8x + 5 Reorder the terms: 42 + 2x + -6x = 1 + -8x + 5 Combine like terms: 2x + -6x = -4x 42 + -4x = 1 + -8x + 5 Reorder the terms: 42 + -4x = 1 + 5 + -8x Combine like terms: 1 + 5 = 6 42 + -4x = 6 + -8x Solving 42 + -4x = 6 + -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 + -4x + 8x = 6 + -8x + 8x Combine like terms: -4x + 8x = 4x 42 + 4x = 6 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 4x = 6 + 0 42 + 4x = 6 Add '-42' to each side of the equation. 42 + -42 + 4x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 4x = 6 + -42 4x = 6 + -42 Combine like terms: 6 + -42 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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