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Simplifying 384.8x + 109 = 2x + 5.4 Reorder the terms: 109 + 384.8x = 2x + 5.4 Reorder the terms: 109 + 384.8x = 5.4 + 2x Solving 109 + 384.8x = 5.4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 109 + 384.8x + -2x = 5.4 + 2x + -2x Combine like terms: 384.8x + -2x = 382.8x 109 + 382.8x = 5.4 + 2x + -2x Combine like terms: 2x + -2x = 0 109 + 382.8x = 5.4 + 0 109 + 382.8x = 5.4 Add '-109' to each side of the equation. 109 + -109 + 382.8x = 5.4 + -109 Combine like terms: 109 + -109 = 0 0 + 382.8x = 5.4 + -109 382.8x = 5.4 + -109 Combine like terms: 5.4 + -109 = -103.6 382.8x = -103.6 Divide each side by '382.8'. x = -0.2706374086 Simplifying x = -0.2706374086
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