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Simplifying 1.2x + 5 = 0.7x + 15 Reorder the terms: 5 + 1.2x = 0.7x + 15 Reorder the terms: 5 + 1.2x = 15 + 0.7x Solving 5 + 1.2x = 15 + 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. 5 + 1.2x + -0.7x = 15 + 0.7x + -0.7x Combine like terms: 1.2x + -0.7x = 0.5x 5 + 0.5x = 15 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 5 + 0.5x = 15 + 0.0 5 + 0.5x = 15 Add '-5' to each side of the equation. 5 + -5 + 0.5x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5x = 15 + -5 0.5x = 15 + -5 Combine like terms: 15 + -5 = 10 0.5x = 10 Divide each side by '0.5'. x = 20 Simplifying x = 20
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