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Simplifying 6.25(x + -1) = 2.5(3x + -1) + -6.25 Reorder the terms: 6.25(-1 + x) = 2.5(3x + -1) + -6.25 (-1 * 6.25 + x * 6.25) = 2.5(3x + -1) + -6.25 (-6.25 + 6.25x) = 2.5(3x + -1) + -6.25 Reorder the terms: -6.25 + 6.25x = 2.5(-1 + 3x) + -6.25 -6.25 + 6.25x = (-1 * 2.5 + 3x * 2.5) + -6.25 -6.25 + 6.25x = (-2.5 + 7.5x) + -6.25 Reorder the terms: -6.25 + 6.25x = -2.5 + -6.25 + 7.5x Combine like terms: -2.5 + -6.25 = -8.75 -6.25 + 6.25x = -8.75 + 7.5x Solving -6.25 + 6.25x = -8.75 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. -6.25 + 6.25x + -7.5x = -8.75 + 7.5x + -7.5x Combine like terms: 6.25x + -7.5x = -1.25x -6.25 + -1.25x = -8.75 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -6.25 + -1.25x = -8.75 + 0.0 -6.25 + -1.25x = -8.75 Add '6.25' to each side of the equation. -6.25 + 6.25 + -1.25x = -8.75 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + -1.25x = -8.75 + 6.25 -1.25x = -8.75 + 6.25 Combine like terms: -8.75 + 6.25 = -2.5 -1.25x = -2.5 Divide each side by '-1.25'. x = 2 Simplifying x = 2
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