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Simplifying -1x + 2 = 7x + -46 Reorder the terms: 2 + -1x = 7x + -46 Reorder the terms: 2 + -1x = -46 + 7x Solving 2 + -1x = -46 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + -1x + -7x = -46 + 7x + -7x Combine like terms: -1x + -7x = -8x 2 + -8x = -46 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -8x = -46 + 0 2 + -8x = -46 Add '-2' to each side of the equation. 2 + -2 + -8x = -46 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -46 + -2 -8x = -46 + -2 Combine like terms: -46 + -2 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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