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Simplifying 30 + 15 + 0.55x = 35 + 0.65x Combine like terms: 30 + 15 = 45 45 + 0.55x = 35 + 0.65x Solving 45 + 0.55x = 35 + 0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65x' to each side of the equation. 45 + 0.55x + -0.65x = 35 + 0.65x + -0.65x Combine like terms: 0.55x + -0.65x = -0.1x 45 + -0.1x = 35 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 45 + -0.1x = 35 + 0.00 45 + -0.1x = 35 Add '-45' to each side of the equation. 45 + -45 + -0.1x = 35 + -45 Combine like terms: 45 + -45 = 0 0 + -0.1x = 35 + -45 -0.1x = 35 + -45 Combine like terms: 35 + -45 = -10 -0.1x = -10 Divide each side by '-0.1'. x = 100 Simplifying x = 100
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