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Simplifying 2x + -1(3x + -8) + 5x + -6(x + -1) = 11 Reorder the terms: 2x + -1(-8 + 3x) + 5x + -6(x + -1) = 11 2x + (-8 * -1 + 3x * -1) + 5x + -6(x + -1) = 11 2x + (8 + -3x) + 5x + -6(x + -1) = 11 Reorder the terms: 2x + 8 + -3x + 5x + -6(-1 + x) = 11 2x + 8 + -3x + 5x + (-1 * -6 + x * -6) = 11 2x + 8 + -3x + 5x + (6 + -6x) = 11 Reorder the terms: 8 + 6 + 2x + -3x + 5x + -6x = 11 Combine like terms: 8 + 6 = 14 14 + 2x + -3x + 5x + -6x = 11 Combine like terms: 2x + -3x = -1x 14 + -1x + 5x + -6x = 11 Combine like terms: -1x + 5x = 4x 14 + 4x + -6x = 11 Combine like terms: 4x + -6x = -2x 14 + -2x = 11 Solving 14 + -2x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2x = 11 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 11 + -14 -2x = 11 + -14 Combine like terms: 11 + -14 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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