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Simplifying 8x + (5x + -9 + -4x + 1) = x + -4(x + -4) Reorder the terms: 8x + (-9 + 1 + 5x + -4x) = x + -4(x + -4) Combine like terms: -9 + 1 = -8 8x + (-8 + 5x + -4x) = x + -4(x + -4) Combine like terms: 5x + -4x = 1x 8x + (-8 + 1x) = x + -4(x + -4) Remove parenthesis around (-8 + 1x) 8x + -8 + 1x = x + -4(x + -4) Reorder the terms: -8 + 8x + 1x = x + -4(x + -4) Combine like terms: 8x + 1x = 9x -8 + 9x = x + -4(x + -4) Reorder the terms: -8 + 9x = x + -4(-4 + x) -8 + 9x = x + (-4 * -4 + x * -4) -8 + 9x = x + (16 + -4x) Reorder the terms: -8 + 9x = 16 + x + -4x Combine like terms: x + -4x = -3x -8 + 9x = 16 + -3x Solving -8 + 9x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 9x + 3x = 16 + -3x + 3x Combine like terms: 9x + 3x = 12x -8 + 12x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 12x = 16 + 0 -8 + 12x = 16 Add '8' to each side of the equation. -8 + 8 + 12x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 16 + 8 12x = 16 + 8 Combine like terms: 16 + 8 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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