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