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Simplifying 0.4x + 0.3(10) = 0.1(x + 30) Multiply 0.3 * 10 0.4x + 3 = 0.1(x + 30) Reorder the terms: 3 + 0.4x = 0.1(x + 30) Reorder the terms: 3 + 0.4x = 0.1(30 + x) 3 + 0.4x = (30 * 0.1 + x * 0.1) 3 + 0.4x = (3 + 0.1x) Add '-3' to each side of the equation. 3 + -3 + 0.4x = 3 + -3 + 0.1x Combine like terms: 3 + -3 = 0 0 + 0.4x = 3 + -3 + 0.1x 0.4x = 3 + -3 + 0.1x Combine like terms: 3 + -3 = 0 0.4x = 0 + 0.1x 0.4x = 0.1x Solving 0.4x = 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. 0.4x + -0.1x = 0.1x + -0.1x Combine like terms: 0.4x + -0.1x = 0.3x 0.3x = 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.3x = 0.0 Divide each side by '0.3'. x = 0 Simplifying x = 0
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