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Simplifying 8 + -7(2 + -3x) + -9x = 4(5x + -1) + -3x + -2 8 + (2 * -7 + -3x * -7) + -9x = 4(5x + -1) + -3x + -2 8 + (-14 + 21x) + -9x = 4(5x + -1) + -3x + -2 Combine like terms: 8 + -14 = -6 -6 + 21x + -9x = 4(5x + -1) + -3x + -2 Combine like terms: 21x + -9x = 12x -6 + 12x = 4(5x + -1) + -3x + -2 Reorder the terms: -6 + 12x = 4(-1 + 5x) + -3x + -2 -6 + 12x = (-1 * 4 + 5x * 4) + -3x + -2 -6 + 12x = (-4 + 20x) + -3x + -2 Reorder the terms: -6 + 12x = -4 + -2 + 20x + -3x Combine like terms: -4 + -2 = -6 -6 + 12x = -6 + 20x + -3x Combine like terms: 20x + -3x = 17x -6 + 12x = -6 + 17x Add '6' to each side of the equation. -6 + 6 + 12x = -6 + 6 + 17x Combine like terms: -6 + 6 = 0 0 + 12x = -6 + 6 + 17x 12x = -6 + 6 + 17x Combine like terms: -6 + 6 = 0 12x = 0 + 17x 12x = 17x Solving 12x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 12x + -17x = 17x + -17x Combine like terms: 12x + -17x = -5x -5x = 17x + -17x Combine like terms: 17x + -17x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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