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Simplifying 10 + -7x = x + -46 Reorder the terms: 10 + -7x = -46 + x Solving 10 + -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. 10 + -7x + -1x = -46 + x + -1x Combine like terms: -7x + -1x = -8x 10 + -8x = -46 + x + -1x Combine like terms: x + -1x = 0 10 + -8x = -46 + 0 10 + -8x = -46 Add '-10' to each side of the equation. 10 + -10 + -8x = -46 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -46 + -10 -8x = -46 + -10 Combine like terms: -46 + -10 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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