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Simplifying -0.251(7000) + 0.4x = 0.02(7000 + x) Multiply -0.251 * 7000 -1757 + 0.4x = 0.02(7000 + x) -1757 + 0.4x = (7000 * 0.02 + x * 0.02) -1757 + 0.4x = (140 + 0.02x) Solving -1757 + 0.4x = 140 + 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. -1757 + 0.4x + -0.02x = 140 + 0.02x + -0.02x Combine like terms: 0.4x + -0.02x = 0.38x -1757 + 0.38x = 140 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -1757 + 0.38x = 140 + 0.00 -1757 + 0.38x = 140 Add '1757' to each side of the equation. -1757 + 1757 + 0.38x = 140 + 1757 Combine like terms: -1757 + 1757 = 0 0 + 0.38x = 140 + 1757 0.38x = 140 + 1757 Combine like terms: 140 + 1757 = 1897 0.38x = 1897 Divide each side by '0.38'. x = 4992.105263 Simplifying x = 4992.105263
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