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Simplifying 1.25x + -9 = 1.5x + -12 Reorder the terms: -9 + 1.25x = 1.5x + -12 Reorder the terms: -9 + 1.25x = -12 + 1.5x Solving -9 + 1.25x = -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. -9 + 1.25x + -1.5x = -12 + 1.5x + -1.5x Combine like terms: 1.25x + -1.5x = -0.25x -9 + -0.25x = -12 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -9 + -0.25x = -12 + 0.0 -9 + -0.25x = -12 Add '9' to each side of the equation. -9 + 9 + -0.25x = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -0.25x = -12 + 9 -0.25x = -12 + 9 Combine like terms: -12 + 9 = -3 -0.25x = -3 Divide each side by '-0.25'. x = 12 Simplifying x = 12
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