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Simplifying 5.8x + -17.4 = -0.2x + 24.6 Reorder the terms: -17.4 + 5.8x = -0.2x + 24.6 Reorder the terms: -17.4 + 5.8x = 24.6 + -0.2x Solving -17.4 + 5.8x = 24.6 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -17.4 + 5.8x + 0.2x = 24.6 + -0.2x + 0.2x Combine like terms: 5.8x + 0.2x = 6x -17.4 + 6x = 24.6 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -17.4 + 6x = 24.6 + 0.0 -17.4 + 6x = 24.6 Add '17.4' to each side of the equation. -17.4 + 17.4 + 6x = 24.6 + 17.4 Combine like terms: -17.4 + 17.4 = 0.0 0.0 + 6x = 24.6 + 17.4 6x = 24.6 + 17.4 Combine like terms: 24.6 + 17.4 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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