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