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Simplifying 6 + -7(x + 2) = 8 + x Reorder the terms: 6 + -7(2 + x) = 8 + x 6 + (2 * -7 + x * -7) = 8 + x 6 + (-14 + -7x) = 8 + x Combine like terms: 6 + -14 = -8 -8 + -7x = 8 + x Solving -8 + -7x = 8 + 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. -8 + -7x + -1x = 8 + x + -1x Combine like terms: -7x + -1x = -8x -8 + -8x = 8 + x + -1x Combine like terms: x + -1x = 0 -8 + -8x = 8 + 0 -8 + -8x = 8 Add '8' to each side of the equation. -8 + 8 + -8x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 8 + 8 -8x = 8 + 8 Combine like terms: 8 + 8 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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