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Simplifying 4x + -1(9x + 11) = -8(x + 1) Reorder the terms: 4x + -1(11 + 9x) = -8(x + 1) 4x + (11 * -1 + 9x * -1) = -8(x + 1) 4x + (-11 + -9x) = -8(x + 1) Reorder the terms: -11 + 4x + -9x = -8(x + 1) Combine like terms: 4x + -9x = -5x -11 + -5x = -8(x + 1) Reorder the terms: -11 + -5x = -8(1 + x) -11 + -5x = (1 * -8 + x * -8) -11 + -5x = (-8 + -8x) Solving -11 + -5x = -8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -11 + -5x + 8x = -8 + -8x + 8x Combine like terms: -5x + 8x = 3x -11 + 3x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 -11 + 3x = -8 + 0 -11 + 3x = -8 Add '11' to each side of the equation. -11 + 11 + 3x = -8 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = -8 + 11 3x = -8 + 11 Combine like terms: -8 + 11 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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