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Simplifying -6(x + 1) + -2x = -11 + -7x Reorder the terms: -6(1 + x) + -2x = -11 + -7x (1 * -6 + x * -6) + -2x = -11 + -7x (-6 + -6x) + -2x = -11 + -7x Combine like terms: -6x + -2x = -8x -6 + -8x = -11 + -7x Solving -6 + -8x = -11 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6 + -8x + 7x = -11 + -7x + 7x Combine like terms: -8x + 7x = -1x -6 + -1x = -11 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + -1x = -11 + 0 -6 + -1x = -11 Add '6' to each side of the equation. -6 + 6 + -1x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -11 + 6 -1x = -11 + 6 Combine like terms: -11 + 6 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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