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Simplifying -6x + -7 = -1(-9 + 2x) Reorder the terms: -7 + -6x = -1(-9 + 2x) -7 + -6x = (-9 * -1 + 2x * -1) -7 + -6x = (9 + -2x) Solving -7 + -6x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + -6x + 2x = 9 + -2x + 2x Combine like terms: -6x + 2x = -4x -7 + -4x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + -4x = 9 + 0 -7 + -4x = 9 Add '7' to each side of the equation. -7 + 7 + -4x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 9 + 7 -4x = 9 + 7 Combine like terms: 9 + 7 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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