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Simplifying 7x + -71 = 133 + -10x Reorder the terms: -71 + 7x = 133 + -10x Solving -71 + 7x = 133 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -71 + 7x + 10x = 133 + -10x + 10x Combine like terms: 7x + 10x = 17x -71 + 17x = 133 + -10x + 10x Combine like terms: -10x + 10x = 0 -71 + 17x = 133 + 0 -71 + 17x = 133 Add '71' to each side of the equation. -71 + 71 + 17x = 133 + 71 Combine like terms: -71 + 71 = 0 0 + 17x = 133 + 71 17x = 133 + 71 Combine like terms: 133 + 71 = 204 17x = 204 Divide each side by '17'. x = 12 Simplifying x = 12
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