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Simplifying 2.5(5x + 10) = 2(4x + -7) Reorder the terms: 2.5(10 + 5x) = 2(4x + -7) (10 * 2.5 + 5x * 2.5) = 2(4x + -7) (25 + 12.5x) = 2(4x + -7) Reorder the terms: 25 + 12.5x = 2(-7 + 4x) 25 + 12.5x = (-7 * 2 + 4x * 2) 25 + 12.5x = (-14 + 8x) Solving 25 + 12.5x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 25 + 12.5x + -8x = -14 + 8x + -8x Combine like terms: 12.5x + -8x = 4.5x 25 + 4.5x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + 4.5x = -14 + 0 25 + 4.5x = -14 Add '-25' to each side of the equation. 25 + -25 + 4.5x = -14 + -25 Combine like terms: 25 + -25 = 0 0 + 4.5x = -14 + -25 4.5x = -14 + -25 Combine like terms: -14 + -25 = -39 4.5x = -39 Divide each side by '4.5'. x = -8.666666667 Simplifying x = -8.666666667
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