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Simplifying 9(2x + -3) = 25(x + -1) + 5 Reorder the terms: 9(-3 + 2x) = 25(x + -1) + 5 (-3 * 9 + 2x * 9) = 25(x + -1) + 5 (-27 + 18x) = 25(x + -1) + 5 Reorder the terms: -27 + 18x = 25(-1 + x) + 5 -27 + 18x = (-1 * 25 + x * 25) + 5 -27 + 18x = (-25 + 25x) + 5 Reorder the terms: -27 + 18x = -25 + 5 + 25x Combine like terms: -25 + 5 = -20 -27 + 18x = -20 + 25x Solving -27 + 18x = -20 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -27 + 18x + -25x = -20 + 25x + -25x Combine like terms: 18x + -25x = -7x -27 + -7x = -20 + 25x + -25x Combine like terms: 25x + -25x = 0 -27 + -7x = -20 + 0 -27 + -7x = -20 Add '27' to each side of the equation. -27 + 27 + -7x = -20 + 27 Combine like terms: -27 + 27 = 0 0 + -7x = -20 + 27 -7x = -20 + 27 Combine like terms: -20 + 27 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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