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Simplifying 3x + -3 + 5x + 55 + 10x + 30 = 100 Reorder the terms: -3 + 55 + 30 + 3x + 5x + 10x = 100 Combine like terms: -3 + 55 = 52 52 + 30 + 3x + 5x + 10x = 100 Combine like terms: 52 + 30 = 82 82 + 3x + 5x + 10x = 100 Combine like terms: 3x + 5x = 8x 82 + 8x + 10x = 100 Combine like terms: 8x + 10x = 18x 82 + 18x = 100 Solving 82 + 18x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 18x = 100 + -82 Combine like terms: 82 + -82 = 0 0 + 18x = 100 + -82 18x = 100 + -82 Combine like terms: 100 + -82 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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