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Simplifying 4.5x + 6 = 8x + 12 Reorder the terms: 6 + 4.5x = 8x + 12 Reorder the terms: 6 + 4.5x = 12 + 8x Solving 6 + 4.5x = 12 + 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 + 4.5x + -8x = 12 + 8x + -8x Combine like terms: 4.5x + -8x = -3.5x 6 + -3.5x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -3.5x = 12 + 0 6 + -3.5x = 12 Add '-6' to each side of the equation. 6 + -6 + -3.5x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3.5x = 12 + -6 -3.5x = 12 + -6 Combine like terms: 12 + -6 = 6 -3.5x = 6 Divide each side by '-3.5'. x = -1.714285714 Simplifying x = -1.714285714
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