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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 = -13x -11 + -13x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -11 + -13x = 8 + 0 -11 + -13x = 8 Add '11' to each side of the equation. -11 + 11 + -13x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + -13x = 8 + 11 -13x = 8 + 11 Combine like terms: 8 + 11 = 19 -13x = 19 Divide each side by '-13'. x = -1.461538462 Simplifying x = -1.461538462
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