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Simplifying -6x + 1 + -2x = -47 Reorder the terms: 1 + -6x + -2x = -47 Combine like terms: -6x + -2x = -8x 1 + -8x = -47 Solving 1 + -8x = -47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8x = -47 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = -47 + -1 -8x = -47 + -1 Combine like terms: -47 + -1 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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