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Simplifying 0.6(400 + -2.2x) = 3.7(4x + -5000) (400 * 0.6 + -2.2x * 0.6) = 3.7(4x + -5000) (240 + -1.32x) = 3.7(4x + -5000) Reorder the terms: 240 + -1.32x = 3.7(-5000 + 4x) 240 + -1.32x = (-5000 * 3.7 + 4x * 3.7) 240 + -1.32x = (-18500 + 14.8x) Solving 240 + -1.32x = -18500 + 14.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.8x' to each side of the equation. 240 + -1.32x + -14.8x = -18500 + 14.8x + -14.8x Combine like terms: -1.32x + -14.8x = -16.12x 240 + -16.12x = -18500 + 14.8x + -14.8x Combine like terms: 14.8x + -14.8x = 0.0 240 + -16.12x = -18500 + 0.0 240 + -16.12x = -18500 Add '-240' to each side of the equation. 240 + -240 + -16.12x = -18500 + -240 Combine like terms: 240 + -240 = 0 0 + -16.12x = -18500 + -240 -16.12x = -18500 + -240 Combine like terms: -18500 + -240 = -18740 -16.12x = -18740 Divide each side by '-16.12'. x = 1162.531017 Simplifying x = 1162.531017
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