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Simplifying 3x + 6 = 8 + 7.5x Reorder the terms: 6 + 3x = 8 + 7.5x Solving 6 + 3x = 8 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. 6 + 3x + -7.5x = 8 + 7.5x + -7.5x Combine like terms: 3x + -7.5x = -4.5x 6 + -4.5x = 8 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 6 + -4.5x = 8 + 0.0 6 + -4.5x = 8 Add '-6' to each side of the equation. 6 + -6 + -4.5x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -4.5x = 8 + -6 -4.5x = 8 + -6 Combine like terms: 8 + -6 = 2 -4.5x = 2 Divide each side by '-4.5'. x = -0.4444444444 Simplifying x = -0.4444444444
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