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Simplifying 0.6x + -0.4(40 + x) = 0.4(40) 0.6x + (40 * -0.4 + x * -0.4) = 0.4(40) 0.6x + (-16 + -0.4x) = 0.4(40) Reorder the terms: -16 + 0.6x + -0.4x = 0.4(40) Combine like terms: 0.6x + -0.4x = 0.2x -16 + 0.2x = 0.4(40) Multiply 0.4 * 40 -16 + 0.2x = 16 Solving -16 + 0.2x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 0.2x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 0.2x = 16 + 16 0.2x = 16 + 16 Combine like terms: 16 + 16 = 32 0.2x = 32 Divide each side by '0.2'. x = 160 Simplifying x = 160
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