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Simplifying 88(-22x + -23) = 25(-55x + 11) Reorder the terms: 88(-23 + -22x) = 25(-55x + 11) (-23 * 88 + -22x * 88) = 25(-55x + 11) (-2024 + -1936x) = 25(-55x + 11) Reorder the terms: -2024 + -1936x = 25(11 + -55x) -2024 + -1936x = (11 * 25 + -55x * 25) -2024 + -1936x = (275 + -1375x) Solving -2024 + -1936x = 275 + -1375x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1375x' to each side of the equation. -2024 + -1936x + 1375x = 275 + -1375x + 1375x Combine like terms: -1936x + 1375x = -561x -2024 + -561x = 275 + -1375x + 1375x Combine like terms: -1375x + 1375x = 0 -2024 + -561x = 275 + 0 -2024 + -561x = 275 Add '2024' to each side of the equation. -2024 + 2024 + -561x = 275 + 2024 Combine like terms: -2024 + 2024 = 0 0 + -561x = 275 + 2024 -561x = 275 + 2024 Combine like terms: 275 + 2024 = 2299 -561x = 2299 Divide each side by '-561'. x = -4.098039216 Simplifying x = -4.098039216
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