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Simplifying 5.30 = 0.40(x + 0.5) Reorder the terms: 5.30 = 0.40(0.5 + x) 5.30 = (0.5 * 0.40 + x * 0.40) 5.30 = (0.2 + 0.40x) Solving 5.30 = 0.2 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 5.30 + -0.40x = 0.2 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 5.30 + -0.40x = 0.2 + 0.00 5.30 + -0.40x = 0.2 Add '-5.30' to each side of the equation. 5.30 + -5.30 + -0.40x = 0.2 + -5.30 Combine like terms: 5.30 + -5.30 = 0.00 0.00 + -0.40x = 0.2 + -5.30 -0.40x = 0.2 + -5.30 Combine like terms: 0.2 + -5.30 = -5.1 -0.40x = -5.1 Divide each side by '-0.40'. x = 12.75 Simplifying x = 12.75
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