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Simplifying -3x + -5 + -6(x + 1) = 3x + 5 Reorder the terms: -3x + -5 + -6(1 + x) = 3x + 5 -3x + -5 + (1 * -6 + x * -6) = 3x + 5 -3x + -5 + (-6 + -6x) = 3x + 5 Reorder the terms: -5 + -6 + -3x + -6x = 3x + 5 Combine like terms: -5 + -6 = -11 -11 + -3x + -6x = 3x + 5 Combine like terms: -3x + -6x = -9x -11 + -9x = 3x + 5 Reorder the terms: -11 + -9x = 5 + 3x Solving -11 + -9x = 5 + 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. -11 + -9x + -3x = 5 + 3x + -3x Combine like terms: -9x + -3x = -12x -11 + -12x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + -12x = 5 + 0 -11 + -12x = 5 Add '11' to each side of the equation. -11 + 11 + -12x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + -12x = 5 + 11 -12x = 5 + 11 Combine like terms: 5 + 11 = 16 -12x = 16 Divide each side by '-12'. x = -1.333333333 Simplifying x = -1.333333333
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