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