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Simplifying -53 + x = 122 + -6x Solving -53 + x = 122 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -53 + x + 6x = 122 + -6x + 6x Combine like terms: x + 6x = 7x -53 + 7x = 122 + -6x + 6x Combine like terms: -6x + 6x = 0 -53 + 7x = 122 + 0 -53 + 7x = 122 Add '53' to each side of the equation. -53 + 53 + 7x = 122 + 53 Combine like terms: -53 + 53 = 0 0 + 7x = 122 + 53 7x = 122 + 53 Combine like terms: 122 + 53 = 175 7x = 175 Divide each side by '7'. x = 25 Simplifying x = 25
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