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Simplifying 110 + 0.40x = 40 + 0.50x Solving 110 + 0.40x = 40 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 110 + 0.40x + -0.50x = 40 + 0.50x + -0.50x Combine like terms: 0.40x + -0.50x = -0.1x 110 + -0.1x = 40 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 110 + -0.1x = 40 + 0.00 110 + -0.1x = 40 Add '-110' to each side of the equation. 110 + -110 + -0.1x = 40 + -110 Combine like terms: 110 + -110 = 0 0 + -0.1x = 40 + -110 -0.1x = 40 + -110 Combine like terms: 40 + -110 = -70 -0.1x = -70 Divide each side by '-0.1'. x = 700 Simplifying x = 700
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