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Simplifying 0.8x + -0.4(80 + x) = -0.05(80) 0.8x + (80 * -0.4 + x * -0.4) = -0.05(80) 0.8x + (-32 + -0.4x) = -0.05(80) Reorder the terms: -32 + 0.8x + -0.4x = -0.05(80) Combine like terms: 0.8x + -0.4x = 0.4x -32 + 0.4x = -0.05(80) Multiply -0.05 * 80 -32 + 0.4x = -4 Solving -32 + 0.4x = -4 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 + 0.4x = -4 + 32 Combine like terms: -32 + 32 = 0 0 + 0.4x = -4 + 32 0.4x = -4 + 32 Combine like terms: -4 + 32 = 28 0.4x = 28 Divide each side by '0.4'. x = 70 Simplifying x = 70
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