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Simplifying 0.16(x + -180) + 0.19x = 0.94x + -294.3 Reorder the terms: 0.16(-180 + x) + 0.19x = 0.94x + -294.3 (-180 * 0.16 + x * 0.16) + 0.19x = 0.94x + -294.3 (-28.8 + 0.16x) + 0.19x = 0.94x + -294.3 Combine like terms: 0.16x + 0.19x = 0.35x -28.8 + 0.35x = 0.94x + -294.3 Reorder the terms: -28.8 + 0.35x = -294.3 + 0.94x Solving -28.8 + 0.35x = -294.3 + 0.94x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.94x' to each side of the equation. -28.8 + 0.35x + -0.94x = -294.3 + 0.94x + -0.94x Combine like terms: 0.35x + -0.94x = -0.59x -28.8 + -0.59x = -294.3 + 0.94x + -0.94x Combine like terms: 0.94x + -0.94x = 0.00 -28.8 + -0.59x = -294.3 + 0.00 -28.8 + -0.59x = -294.3 Add '28.8' to each side of the equation. -28.8 + 28.8 + -0.59x = -294.3 + 28.8 Combine like terms: -28.8 + 28.8 = 0.0 0.0 + -0.59x = -294.3 + 28.8 -0.59x = -294.3 + 28.8 Combine like terms: -294.3 + 28.8 = -265.5 -0.59x = -265.5 Divide each side by '-0.59'. x = 450 Simplifying x = 450
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