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Simplifying 75 + 2x = 100 + -2x Solving 75 + 2x = 100 + -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. 75 + 2x + 2x = 100 + -2x + 2x Combine like terms: 2x + 2x = 4x 75 + 4x = 100 + -2x + 2x Combine like terms: -2x + 2x = 0 75 + 4x = 100 + 0 75 + 4x = 100 Add '-75' to each side of the equation. 75 + -75 + 4x = 100 + -75 Combine like terms: 75 + -75 = 0 0 + 4x = 100 + -75 4x = 100 + -75 Combine like terms: 100 + -75 = 25 4x = 25 Divide each side by '4'. x = 6.25 Simplifying x = 6.25
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