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Simplifying 100 + 0.75x = 30 + 0.90x Solving 100 + 0.75x = 30 + 0.90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.90x' to each side of the equation. 100 + 0.75x + -0.90x = 30 + 0.90x + -0.90x Combine like terms: 0.75x + -0.90x = -0.15x 100 + -0.15x = 30 + 0.90x + -0.90x Combine like terms: 0.90x + -0.90x = 0.00 100 + -0.15x = 30 + 0.00 100 + -0.15x = 30 Add '-100' to each side of the equation. 100 + -100 + -0.15x = 30 + -100 Combine like terms: 100 + -100 = 0 0 + -0.15x = 30 + -100 -0.15x = 30 + -100 Combine like terms: 30 + -100 = -70 -0.15x = -70 Divide each side by '-0.15'. x = 466.6666667 Simplifying x = 466.6666667
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