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Simplifying 0.1x + -14.3 = 0.04x + 10.9 Reorder the terms: -14.3 + 0.1x = 0.04x + 10.9 Reorder the terms: -14.3 + 0.1x = 10.9 + 0.04x Solving -14.3 + 0.1x = 10.9 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -14.3 + 0.1x + -0.04x = 10.9 + 0.04x + -0.04x Combine like terms: 0.1x + -0.04x = 0.06x -14.3 + 0.06x = 10.9 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -14.3 + 0.06x = 10.9 + 0.00 -14.3 + 0.06x = 10.9 Add '14.3' to each side of the equation. -14.3 + 14.3 + 0.06x = 10.9 + 14.3 Combine like terms: -14.3 + 14.3 = 0.0 0.0 + 0.06x = 10.9 + 14.3 0.06x = 10.9 + 14.3 Combine like terms: 10.9 + 14.3 = 25.2 0.06x = 25.2 Divide each side by '0.06'. x = 420 Simplifying x = 420
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