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Simplifying -3x + -6 + -5(x + 1) = -1(-6x + -6) Reorder the terms: -3x + -6 + -5(1 + x) = -1(-6x + -6) -3x + -6 + (1 * -5 + x * -5) = -1(-6x + -6) -3x + -6 + (-5 + -5x) = -1(-6x + -6) Reorder the terms: -6 + -5 + -3x + -5x = -1(-6x + -6) Combine like terms: -6 + -5 = -11 -11 + -3x + -5x = -1(-6x + -6) Combine like terms: -3x + -5x = -8x -11 + -8x = -1(-6x + -6) Reorder the terms: -11 + -8x = -1(-6 + -6x) -11 + -8x = (-6 * -1 + -6x * -1) -11 + -8x = (6 + 6x) Solving -11 + -8x = 6 + 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. -11 + -8x + -6x = 6 + 6x + -6x Combine like terms: -8x + -6x = -14x -11 + -14x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -14x = 6 + 0 -11 + -14x = 6 Add '11' to each side of the equation. -11 + 11 + -14x = 6 + 11 Combine like terms: -11 + 11 = 0 0 + -14x = 6 + 11 -14x = 6 + 11 Combine like terms: 6 + 11 = 17 -14x = 17 Divide each side by '-14'. x = -1.214285714 Simplifying x = -1.214285714
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