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Simplifying 0.6x + 0.5(30) = 0.4(x + 40) Multiply 0.5 * 30 0.6x + 15 = 0.4(x + 40) Reorder the terms: 15 + 0.6x = 0.4(x + 40) Reorder the terms: 15 + 0.6x = 0.4(40 + x) 15 + 0.6x = (40 * 0.4 + x * 0.4) 15 + 0.6x = (16 + 0.4x) Solving 15 + 0.6x = 16 + 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. 15 + 0.6x + -0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x 15 + 0.2x = 16 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 15 + 0.2x = 16 + 0.0 15 + 0.2x = 16 Add '-15' to each side of the equation. 15 + -15 + 0.2x = 16 + -15 Combine like terms: 15 + -15 = 0 0 + 0.2x = 16 + -15 0.2x = 16 + -15 Combine like terms: 16 + -15 = 1 0.2x = 1 Divide each side by '0.2'. x = 5 Simplifying x = 5
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