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Simplifying 1.23x + 10.2 = 0.7x + 5 Reorder the terms: 10.2 + 1.23x = 0.7x + 5 Reorder the terms: 10.2 + 1.23x = 5 + 0.7x Solving 10.2 + 1.23x = 5 + 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. 10.2 + 1.23x + -0.7x = 5 + 0.7x + -0.7x Combine like terms: 1.23x + -0.7x = 0.53x 10.2 + 0.53x = 5 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 10.2 + 0.53x = 5 + 0.0 10.2 + 0.53x = 5 Add '-10.2' to each side of the equation. 10.2 + -10.2 + 0.53x = 5 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + 0.53x = 5 + -10.2 0.53x = 5 + -10.2 Combine like terms: 5 + -10.2 = -5.2 0.53x = -5.2 Divide each side by '0.53'. x = -9.811320755 Simplifying x = -9.811320755
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