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Simplifying 100 + (55x) = 75 + (65x) Solving 100 + (55x) = 75 + (65x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-65x)' to each side of the equation. 100 + (55x) + (-65x) = 75 + (65x) + (-65x) Combine like terms: (55x) + (-65x) = -10x 100 + -10x = 75 + (65x) + (-65x) Combine like terms: (65x) + (-65x) = 0 100 + -10x = 75 + 0 100 + -10x = 75 Add '-100' to each side of the equation. 100 + -100 + -10x = 75 + -100 Combine like terms: 100 + -100 = 0 0 + -10x = 75 + -100 -10x = 75 + -100 Combine like terms: 75 + -100 = -25 -10x = -25 Divide each side by '-10'. x = 2.5 Simplifying x = 2.5
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