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Simplifying -5 + -5(-5x + 1) = 9(3x + -1) + -3 Reorder the terms: -5 + -5(1 + -5x) = 9(3x + -1) + -3 -5 + (1 * -5 + -5x * -5) = 9(3x + -1) + -3 -5 + (-5 + 25x) = 9(3x + -1) + -3 Combine like terms: -5 + -5 = -10 -10 + 25x = 9(3x + -1) + -3 Reorder the terms: -10 + 25x = 9(-1 + 3x) + -3 -10 + 25x = (-1 * 9 + 3x * 9) + -3 -10 + 25x = (-9 + 27x) + -3 Reorder the terms: -10 + 25x = -9 + -3 + 27x Combine like terms: -9 + -3 = -12 -10 + 25x = -12 + 27x Solving -10 + 25x = -12 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -10 + 25x + -27x = -12 + 27x + -27x Combine like terms: 25x + -27x = -2x -10 + -2x = -12 + 27x + -27x Combine like terms: 27x + -27x = 0 -10 + -2x = -12 + 0 -10 + -2x = -12 Add '10' to each side of the equation. -10 + 10 + -2x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -12 + 10 -2x = -12 + 10 Combine like terms: -12 + 10 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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