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Simplifying 52 = -1x + 7x + 10 Reorder the terms: 52 = 10 + -1x + 7x Combine like terms: -1x + 7x = 6x 52 = 10 + 6x Solving 52 = 10 + 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. 52 + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 52 + -6x = 10 + 0 52 + -6x = 10 Add '-52' to each side of the equation. 52 + -52 + -6x = 10 + -52 Combine like terms: 52 + -52 = 0 0 + -6x = 10 + -52 -6x = 10 + -52 Combine like terms: 10 + -52 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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