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Simplifying -46 + -10x = 7x + 22 Reorder the terms: -46 + -10x = 22 + 7x Solving -46 + -10x = 22 + 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. -46 + -10x + -7x = 22 + 7x + -7x Combine like terms: -10x + -7x = -17x -46 + -17x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -46 + -17x = 22 + 0 -46 + -17x = 22 Add '46' to each side of the equation. -46 + 46 + -17x = 22 + 46 Combine like terms: -46 + 46 = 0 0 + -17x = 22 + 46 -17x = 22 + 46 Combine like terms: 22 + 46 = 68 -17x = 68 Divide each side by '-17'. x = -4 Simplifying x = -4
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