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Simplifying 2.5(x + -6) = 2.5x + 3 + x + -9 Reorder the terms: 2.5(-6 + x) = 2.5x + 3 + x + -9 (-6 * 2.5 + x * 2.5) = 2.5x + 3 + x + -9 (-15 + 2.5x) = 2.5x + 3 + x + -9 Reorder the terms: -15 + 2.5x = 3 + -9 + 2.5x + x Combine like terms: 3 + -9 = -6 -15 + 2.5x = -6 + 2.5x + x Combine like terms: 2.5x + x = 3.5x -15 + 2.5x = -6 + 3.5x Solving -15 + 2.5x = -6 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. -15 + 2.5x + -3.5x = -6 + 3.5x + -3.5x Combine like terms: 2.5x + -3.5x = -1x -15 + -1x = -6 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -15 + -1x = -6 + 0.0 -15 + -1x = -6 Add '15' to each side of the equation. -15 + 15 + -1x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -6 + 15 -1x = -6 + 15 Combine like terms: -6 + 15 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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