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Simplifying 2.25x + -8 = 1.5x + -12 Reorder the terms: -8 + 2.25x = 1.5x + -12 Reorder the terms: -8 + 2.25x = -12 + 1.5x Solving -8 + 2.25x = -12 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -8 + 2.25x + -1.5x = -12 + 1.5x + -1.5x Combine like terms: 2.25x + -1.5x = 0.75x -8 + 0.75x = -12 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -8 + 0.75x = -12 + 0.0 -8 + 0.75x = -12 Add '8' to each side of the equation. -8 + 8 + 0.75x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 0.75x = -12 + 8 0.75x = -12 + 8 Combine like terms: -12 + 8 = -4 0.75x = -4 Divide each side by '0.75'. x = -5.333333333 Simplifying x = -5.333333333
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