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Simplifying 40x + -24 + -33x + 77 = 102 Reorder the terms: -24 + 77 + 40x + -33x = 102 Combine like terms: -24 + 77 = 53 53 + 40x + -33x = 102 Combine like terms: 40x + -33x = 7x 53 + 7x = 102 Solving 53 + 7x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 7x = 102 + -53 Combine like terms: 53 + -53 = 0 0 + 7x = 102 + -53 7x = 102 + -53 Combine like terms: 102 + -53 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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