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Simplifying 2.25 + -11x + -7.75 + 1.5x = 0.5x + -1 Reorder the terms: 2.25 + -7.75 + -11x + 1.5x = 0.5x + -1 Combine like terms: 2.25 + -7.75 = -5.5 -5.5 + -11x + 1.5x = 0.5x + -1 Combine like terms: -11x + 1.5x = -9.5x -5.5 + -9.5x = 0.5x + -1 Reorder the terms: -5.5 + -9.5x = -1 + 0.5x Solving -5.5 + -9.5x = -1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -5.5 + -9.5x + -0.5x = -1 + 0.5x + -0.5x Combine like terms: -9.5x + -0.5x = -10x -5.5 + -10x = -1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -5.5 + -10x = -1 + 0.0 -5.5 + -10x = -1 Add '5.5' to each side of the equation. -5.5 + 5.5 + -10x = -1 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + -10x = -1 + 5.5 -10x = -1 + 5.5 Combine like terms: -1 + 5.5 = 4.5 -10x = 4.5 Divide each side by '-10'. x = -0.45 Simplifying x = -0.45
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