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Simplifying -6x + -2(x + 1) = x + 7 Reorder the terms: -6x + -2(1 + x) = x + 7 -6x + (1 * -2 + x * -2) = x + 7 -6x + (-2 + -2x) = x + 7 Reorder the terms: -2 + -6x + -2x = x + 7 Combine like terms: -6x + -2x = -8x -2 + -8x = x + 7 Reorder the terms: -2 + -8x = 7 + x Solving -2 + -8x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -8x + -1x = 7 + x + -1x Combine like terms: -8x + -1x = -9x -2 + -9x = 7 + x + -1x Combine like terms: x + -1x = 0 -2 + -9x = 7 + 0 -2 + -9x = 7 Add '2' to each side of the equation. -2 + 2 + -9x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 7 + 2 -9x = 7 + 2 Combine like terms: 7 + 2 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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