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Simplifying -0.36(8000 + 0.4x) = 0.02(8000 + x) (8000 * -0.36 + 0.4x * -0.36) = 0.02(8000 + x) (-2880 + -0.144x) = 0.02(8000 + x) -2880 + -0.144x = (8000 * 0.02 + x * 0.02) -2880 + -0.144x = (160 + 0.02x) Solving -2880 + -0.144x = 160 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -2880 + -0.144x + -0.02x = 160 + 0.02x + -0.02x Combine like terms: -0.144x + -0.02x = -0.164x -2880 + -0.164x = 160 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -2880 + -0.164x = 160 + 0.00 -2880 + -0.164x = 160 Add '2880' to each side of the equation. -2880 + 2880 + -0.164x = 160 + 2880 Combine like terms: -2880 + 2880 = 0 0 + -0.164x = 160 + 2880 -0.164x = 160 + 2880 Combine like terms: 160 + 2880 = 3040 -0.164x = 3040 Divide each side by '-0.164'. x = -18536.58537 Simplifying x = -18536.58537
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