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Simplifying 0.4(11x + -6000) = -0.6(20x + 4000) + 19.3x Reorder the terms: 0.4(-6000 + 11x) = -0.6(20x + 4000) + 19.3x (-6000 * 0.4 + 11x * 0.4) = -0.6(20x + 4000) + 19.3x (-2400 + 4.4x) = -0.6(20x + 4000) + 19.3x Reorder the terms: -2400 + 4.4x = -0.6(4000 + 20x) + 19.3x -2400 + 4.4x = (4000 * -0.6 + 20x * -0.6) + 19.3x -2400 + 4.4x = (-2400 + -12x) + 19.3x Combine like terms: -12x + 19.3x = 7.3x -2400 + 4.4x = -2400 + 7.3x Add '2400' to each side of the equation. -2400 + 2400 + 4.4x = -2400 + 2400 + 7.3x Combine like terms: -2400 + 2400 = 0 0 + 4.4x = -2400 + 2400 + 7.3x 4.4x = -2400 + 2400 + 7.3x Combine like terms: -2400 + 2400 = 0 4.4x = 0 + 7.3x 4.4x = 7.3x Solving 4.4x = 7.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.3x' to each side of the equation. 4.4x + -7.3x = 7.3x + -7.3x Combine like terms: 4.4x + -7.3x = -2.9x -2.9x = 7.3x + -7.3x Combine like terms: 7.3x + -7.3x = 0.0 -2.9x = 0.0 Divide each side by '-2.9'. x = 0 Simplifying x = 0
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