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Simplifying 0.13x + -1.4 = 0.08x + 7.6 Reorder the terms: -1.4 + 0.13x = 0.08x + 7.6 Reorder the terms: -1.4 + 0.13x = 7.6 + 0.08x Solving -1.4 + 0.13x = 7.6 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. -1.4 + 0.13x + -0.08x = 7.6 + 0.08x + -0.08x Combine like terms: 0.13x + -0.08x = 0.05x -1.4 + 0.05x = 7.6 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 -1.4 + 0.05x = 7.6 + 0.00 -1.4 + 0.05x = 7.6 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.05x = 7.6 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.05x = 7.6 + 1.4 0.05x = 7.6 + 1.4 Combine like terms: 7.6 + 1.4 = 9 0.05x = 9 Divide each side by '0.05'. x = 180 Simplifying x = 180
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