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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 = 8x -7 + 8x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 8x = 9 + 0 -7 + 8x = 9 Add '7' to each side of the equation. -7 + 7 + 8x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 9 + 7 8x = 9 + 7 Combine like terms: 9 + 7 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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