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Simplifying 0.4x + 0.4(10) = 0.3(x + 30) Multiply 0.4 * 10 0.4x + 4 = 0.3(x + 30) Reorder the terms: 4 + 0.4x = 0.3(x + 30) Reorder the terms: 4 + 0.4x = 0.3(30 + x) 4 + 0.4x = (30 * 0.3 + x * 0.3) 4 + 0.4x = (9 + 0.3x) Solving 4 + 0.4x = 9 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 4 + 0.4x + -0.3x = 9 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x 4 + 0.1x = 9 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 4 + 0.1x = 9 + 0.0 4 + 0.1x = 9 Add '-4' to each side of the equation. 4 + -4 + 0.1x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 0.1x = 9 + -4 0.1x = 9 + -4 Combine like terms: 9 + -4 = 5 0.1x = 5 Divide each side by '0.1'. x = 50 Simplifying x = 50
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