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Simplifying 0.6x + 110 = 0.7x + 50 Reorder the terms: 110 + 0.6x = 0.7x + 50 Reorder the terms: 110 + 0.6x = 50 + 0.7x Solving 110 + 0.6x = 50 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 110 + 0.6x + -0.7x = 50 + 0.7x + -0.7x Combine like terms: 0.6x + -0.7x = -0.1x 110 + -0.1x = 50 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 110 + -0.1x = 50 + 0.0 110 + -0.1x = 50 Add '-110' to each side of the equation. 110 + -110 + -0.1x = 50 + -110 Combine like terms: 110 + -110 = 0 0 + -0.1x = 50 + -110 -0.1x = 50 + -110 Combine like terms: 50 + -110 = -60 -0.1x = -60 Divide each side by '-0.1'. x = 600 Simplifying x = 600
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