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Simplifying 0.1(50) = 0.4(30 + x) + -0.6x Multiply 0.1 * 50 5 = 0.4(30 + x) + -0.6x 5 = (30 * 0.4 + x * 0.4) + -0.6x 5 = (12 + 0.4x) + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 5 = 12 + -0.2x Solving 5 = 12 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 5 + 0.2x = 12 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 5 + 0.2x = 12 + 0.0 5 + 0.2x = 12 Add '-5' to each side of the equation. 5 + -5 + 0.2x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 0.2x = 12 + -5 0.2x = 12 + -5 Combine like terms: 12 + -5 = 7 0.2x = 7 Divide each side by '0.2'. x = 35 Simplifying x = 35
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