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Simplifying 3.5x + 6 = 8x + -5 Reorder the terms: 6 + 3.5x = 8x + -5 Reorder the terms: 6 + 3.5x = -5 + 8x Solving 6 + 3.5x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 3.5x + -8x = -5 + 8x + -8x Combine like terms: 3.5x + -8x = -4.5x 6 + -4.5x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -4.5x = -5 + 0 6 + -4.5x = -5 Add '-6' to each side of the equation. 6 + -6 + -4.5x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -4.5x = -5 + -6 -4.5x = -5 + -6 Combine like terms: -5 + -6 = -11 -4.5x = -11 Divide each side by '-4.5'. x = 2.444444444 Simplifying x = 2.444444444
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