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Simplifying 0.3x + 0.4(10) = 0.1(x + 40) Multiply 0.4 * 10 0.3x + 4 = 0.1(x + 40) Reorder the terms: 4 + 0.3x = 0.1(x + 40) Reorder the terms: 4 + 0.3x = 0.1(40 + x) 4 + 0.3x = (40 * 0.1 + x * 0.1) 4 + 0.3x = (4 + 0.1x) Add '-4' to each side of the equation. 4 + -4 + 0.3x = 4 + -4 + 0.1x Combine like terms: 4 + -4 = 0 0 + 0.3x = 4 + -4 + 0.1x 0.3x = 4 + -4 + 0.1x Combine like terms: 4 + -4 = 0 0.3x = 0 + 0.1x 0.3x = 0.1x Solving 0.3x = 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. 0.3x + -0.1x = 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x 0.2x = 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.2x = 0.0 Divide each side by '0.2'. x = 0 Simplifying x = 0
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