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Simplifying -2.5x + 2.5(4x + -3) = 27.5 + 5x Reorder the terms: -2.5x + 2.5(-3 + 4x) = 27.5 + 5x -2.5x + (-3 * 2.5 + 4x * 2.5) = 27.5 + 5x -2.5x + (-7.5 + 10x) = 27.5 + 5x Reorder the terms: -7.5 + -2.5x + 10x = 27.5 + 5x Combine like terms: -2.5x + 10x = 7.5x -7.5 + 7.5x = 27.5 + 5x Solving -7.5 + 7.5x = 27.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7.5 + 7.5x + -5x = 27.5 + 5x + -5x Combine like terms: 7.5x + -5x = 2.5x -7.5 + 2.5x = 27.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -7.5 + 2.5x = 27.5 + 0 -7.5 + 2.5x = 27.5 Add '7.5' to each side of the equation. -7.5 + 7.5 + 2.5x = 27.5 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 2.5x = 27.5 + 7.5 2.5x = 27.5 + 7.5 Combine like terms: 27.5 + 7.5 = 35 2.5x = 35 Divide each side by '2.5'. x = 14 Simplifying x = 14
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