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Simplifying 0.1x + 1.3 = 0.7x + 0.5 Reorder the terms: 1.3 + 0.1x = 0.7x + 0.5 Reorder the terms: 1.3 + 0.1x = 0.5 + 0.7x Solving 1.3 + 0.1x = 0.5 + 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. 1.3 + 0.1x + -0.7x = 0.5 + 0.7x + -0.7x Combine like terms: 0.1x + -0.7x = -0.6x 1.3 + -0.6x = 0.5 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 1.3 + -0.6x = 0.5 + 0.0 1.3 + -0.6x = 0.5 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -0.6x = 0.5 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -0.6x = 0.5 + -1.3 -0.6x = 0.5 + -1.3 Combine like terms: 0.5 + -1.3 = -0.8 -0.6x = -0.8 Divide each side by '-0.6'. x = 1.333333333 Simplifying x = 1.333333333
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