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Simplifying 0.4x + 280 = 6(x + 400) Reorder the terms: 280 + 0.4x = 6(x + 400) Reorder the terms: 280 + 0.4x = 6(400 + x) 280 + 0.4x = (400 * 6 + x * 6) 280 + 0.4x = (2400 + 6x) Solving 280 + 0.4x = 2400 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 280 + 0.4x + -6x = 2400 + 6x + -6x Combine like terms: 0.4x + -6x = -5.6x 280 + -5.6x = 2400 + 6x + -6x Combine like terms: 6x + -6x = 0 280 + -5.6x = 2400 + 0 280 + -5.6x = 2400 Add '-280' to each side of the equation. 280 + -280 + -5.6x = 2400 + -280 Combine like terms: 280 + -280 = 0 0 + -5.6x = 2400 + -280 -5.6x = 2400 + -280 Combine like terms: 2400 + -280 = 2120 -5.6x = 2120 Divide each side by '-5.6'. x = -378.5714286 Simplifying x = -378.5714286
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