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Simplifying 100 + 5x = 205 + 2x Solving 100 + 5x = 205 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 100 + 5x + -2x = 205 + 2x + -2x Combine like terms: 5x + -2x = 3x 100 + 3x = 205 + 2x + -2x Combine like terms: 2x + -2x = 0 100 + 3x = 205 + 0 100 + 3x = 205 Add '-100' to each side of the equation. 100 + -100 + 3x = 205 + -100 Combine like terms: 100 + -100 = 0 0 + 3x = 205 + -100 3x = 205 + -100 Combine like terms: 205 + -100 = 105 3x = 105 Divide each side by '3'. x = 35 Simplifying x = 35
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