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Simplifying -105 + -1x = 7x + 47 Reorder the terms: -105 + -1x = 47 + 7x Solving -105 + -1x = 47 + 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. -105 + -1x + -7x = 47 + 7x + -7x Combine like terms: -1x + -7x = -8x -105 + -8x = 47 + 7x + -7x Combine like terms: 7x + -7x = 0 -105 + -8x = 47 + 0 -105 + -8x = 47 Add '105' to each side of the equation. -105 + 105 + -8x = 47 + 105 Combine like terms: -105 + 105 = 0 0 + -8x = 47 + 105 -8x = 47 + 105 Combine like terms: 47 + 105 = 152 -8x = 152 Divide each side by '-8'. x = -19 Simplifying x = -19
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