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Simplifying 5x + -6 = 4.5x + -2 Reorder the terms: -6 + 5x = 4.5x + -2 Reorder the terms: -6 + 5x = -2 + 4.5x Solving -6 + 5x = -2 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -6 + 5x + -4.5x = -2 + 4.5x + -4.5x Combine like terms: 5x + -4.5x = 0.5x -6 + 0.5x = -2 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -6 + 0.5x = -2 + 0.0 -6 + 0.5x = -2 Add '6' to each side of the equation. -6 + 6 + 0.5x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 0.5x = -2 + 6 0.5x = -2 + 6 Combine like terms: -2 + 6 = 4 0.5x = 4 Divide each side by '0.5'. x = 8 Simplifying x = 8
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