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Simplifying 0.6x + 0.2(10) = 0.4(x + 40) Multiply 0.2 * 10 0.6x + 2 = 0.4(x + 40) Reorder the terms: 2 + 0.6x = 0.4(x + 40) Reorder the terms: 2 + 0.6x = 0.4(40 + x) 2 + 0.6x = (40 * 0.4 + x * 0.4) 2 + 0.6x = (16 + 0.4x) Solving 2 + 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. 2 + 0.6x + -0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x 2 + 0.2x = 16 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 2 + 0.2x = 16 + 0.0 2 + 0.2x = 16 Add '-2' to each side of the equation. 2 + -2 + 0.2x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 0.2x = 16 + -2 0.2x = 16 + -2 Combine like terms: 16 + -2 = 14 0.2x = 14 Divide each side by '0.2'. x = 70 Simplifying x = 70
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