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Simplifying 0.3 + 0.5(10) = 0.1(x + 40) Multiply 0.5 * 10 0.3 + 5 = 0.1(x + 40) Combine like terms: 0.3 + 5 = 5.3 5.3 = 0.1(x + 40) Reorder the terms: 5.3 = 0.1(40 + x) 5.3 = (40 * 0.1 + x * 0.1) 5.3 = (4 + 0.1x) Solving 5.3 = 4 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 5.3 + -0.1x = 4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 5.3 + -0.1x = 4 + 0.0 5.3 + -0.1x = 4 Add '-5.3' to each side of the equation. 5.3 + -5.3 + -0.1x = 4 + -5.3 Combine like terms: 5.3 + -5.3 = 0.0 0.0 + -0.1x = 4 + -5.3 -0.1x = 4 + -5.3 Combine like terms: 4 + -5.3 = -1.3 -0.1x = -1.3 Divide each side by '-0.1'. x = 13 Simplifying x = 13
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