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Simplifying 0.6x + 0.3(40) = 0.4(x + 40) Multiply 0.3 * 40 0.6x + 12 = 0.4(x + 40) Reorder the terms: 12 + 0.6x = 0.4(x + 40) Reorder the terms: 12 + 0.6x = 0.4(40 + x) 12 + 0.6x = (40 * 0.4 + x * 0.4) 12 + 0.6x = (16 + 0.4x) Solving 12 + 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. 12 + 0.6x + -0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x 12 + 0.2x = 16 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 12 + 0.2x = 16 + 0.0 12 + 0.2x = 16 Add '-12' to each side of the equation. 12 + -12 + 0.2x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 0.2x = 16 + -12 0.2x = 16 + -12 Combine like terms: 16 + -12 = 4 0.2x = 4 Divide each side by '0.2'. x = 20 Simplifying x = 20
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