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Simplifying 0.6x + -0.4(80 + x) = -0.3(80) 0.6x + (80 * -0.4 + x * -0.4) = -0.3(80) 0.6x + (-32 + -0.4x) = -0.3(80) Reorder the terms: -32 + 0.6x + -0.4x = -0.3(80) Combine like terms: 0.6x + -0.4x = 0.2x -32 + 0.2x = -0.3(80) Multiply -0.3 * 80 -32 + 0.2x = -24 Solving -32 + 0.2x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 0.2x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + 0.2x = -24 + 32 0.2x = -24 + 32 Combine like terms: -24 + 32 = 8 0.2x = 8 Divide each side by '0.2'. x = 40 Simplifying x = 40
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