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Simplifying 4.5(x + -1) = 0.5x + 25.5 Reorder the terms: 4.5(-1 + x) = 0.5x + 25.5 (-1 * 4.5 + x * 4.5) = 0.5x + 25.5 (-4.5 + 4.5x) = 0.5x + 25.5 Reorder the terms: -4.5 + 4.5x = 25.5 + 0.5x Solving -4.5 + 4.5x = 25.5 + 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. -4.5 + 4.5x + -0.5x = 25.5 + 0.5x + -0.5x Combine like terms: 4.5x + -0.5x = 4x -4.5 + 4x = 25.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -4.5 + 4x = 25.5 + 0.0 -4.5 + 4x = 25.5 Add '4.5' to each side of the equation. -4.5 + 4.5 + 4x = 25.5 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 4x = 25.5 + 4.5 4x = 25.5 + 4.5 Combine like terms: 25.5 + 4.5 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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