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Simplifying 9(x + -1) + -1(4x + -8) = 12x Reorder the terms: 9(-1 + x) + -1(4x + -8) = 12x (-1 * 9 + x * 9) + -1(4x + -8) = 12x (-9 + 9x) + -1(4x + -8) = 12x Reorder the terms: -9 + 9x + -1(-8 + 4x) = 12x -9 + 9x + (-8 * -1 + 4x * -1) = 12x -9 + 9x + (8 + -4x) = 12x Reorder the terms: -9 + 8 + 9x + -4x = 12x Combine like terms: -9 + 8 = -1 -1 + 9x + -4x = 12x Combine like terms: 9x + -4x = 5x -1 + 5x = 12x Solving -1 + 5x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + 5x + -12x = 12x + -12x Combine like terms: 5x + -12x = -7x -1 + -7x = 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -7x = 0 Add '1' to each side of the equation. -1 + 1 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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