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Simplifying 0.6x + 0.5(10) = 0.4(x + 30) Multiply 0.5 * 10 0.6x + 5 = 0.4(x + 30) Reorder the terms: 5 + 0.6x = 0.4(x + 30) Reorder the terms: 5 + 0.6x = 0.4(30 + x) 5 + 0.6x = (30 * 0.4 + x * 0.4) 5 + 0.6x = (12 + 0.4x) Solving 5 + 0.6x = 12 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 5 + 0.6x + -0.4x = 12 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x 5 + 0.2x = 12 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 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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