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Simplifying 0.62x + 110 = 0.12x + 130 Reorder the terms: 110 + 0.62x = 0.12x + 130 Reorder the terms: 110 + 0.62x = 130 + 0.12x Solving 110 + 0.62x = 130 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 110 + 0.62x + -0.12x = 130 + 0.12x + -0.12x Combine like terms: 0.62x + -0.12x = 0.5x 110 + 0.5x = 130 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 110 + 0.5x = 130 + 0.00 110 + 0.5x = 130 Add '-110' to each side of the equation. 110 + -110 + 0.5x = 130 + -110 Combine like terms: 110 + -110 = 0 0 + 0.5x = 130 + -110 0.5x = 130 + -110 Combine like terms: 130 + -110 = 20 0.5x = 20 Divide each side by '0.5'. x = 40 Simplifying x = 40
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