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Simplifying 100 = 10 + 20 + 15 + 10 + x + -20 + x + -20 + x + -20 Reorder the terms: 100 = 10 + 20 + 15 + 10 + -20 + -20 + -20 + x + x + x Combine like terms: 10 + 20 = 30 100 = 30 + 15 + 10 + -20 + -20 + -20 + x + x + x Combine like terms: 30 + 15 = 45 100 = 45 + 10 + -20 + -20 + -20 + x + x + x Combine like terms: 45 + 10 = 55 100 = 55 + -20 + -20 + -20 + x + x + x Combine like terms: 55 + -20 = 35 100 = 35 + -20 + -20 + x + x + x Combine like terms: 35 + -20 = 15 100 = 15 + -20 + x + x + x Combine like terms: 15 + -20 = -5 100 = -5 + x + x + x Combine like terms: x + x = 2x 100 = -5 + 2x + x Combine like terms: 2x + x = 3x 100 = -5 + 3x Solving 100 = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 100 + -3x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 100 + -3x = -5 + 0 100 + -3x = -5 Add '-100' to each side of the equation. 100 + -100 + -3x = -5 + -100 Combine like terms: 100 + -100 = 0 0 + -3x = -5 + -100 -3x = -5 + -100 Combine like terms: -5 + -100 = -105 -3x = -105 Divide each side by '-3'. x = 35 Simplifying x = 35
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