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Simplifying -6 + -7x = x + -46 Reorder the terms: -6 + -7x = -46 + x Solving -6 + -7x = -46 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -7x + -1x = -46 + x + -1x Combine like terms: -7x + -1x = -8x -6 + -8x = -46 + x + -1x Combine like terms: x + -1x = 0 -6 + -8x = -46 + 0 -6 + -8x = -46 Add '6' to each side of the equation. -6 + 6 + -8x = -46 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -46 + 6 -8x = -46 + 6 Combine like terms: -46 + 6 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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