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Simplifying 5.8x + 62 = 8.3x + 12 Reorder the terms: 62 + 5.8x = 8.3x + 12 Reorder the terms: 62 + 5.8x = 12 + 8.3x Solving 62 + 5.8x = 12 + 8.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.3x' to each side of the equation. 62 + 5.8x + -8.3x = 12 + 8.3x + -8.3x Combine like terms: 5.8x + -8.3x = -2.5x 62 + -2.5x = 12 + 8.3x + -8.3x Combine like terms: 8.3x + -8.3x = 0.0 62 + -2.5x = 12 + 0.0 62 + -2.5x = 12 Add '-62' to each side of the equation. 62 + -62 + -2.5x = 12 + -62 Combine like terms: 62 + -62 = 0 0 + -2.5x = 12 + -62 -2.5x = 12 + -62 Combine like terms: 12 + -62 = -50 -2.5x = -50 Divide each side by '-2.5'. x = 20 Simplifying x = 20
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