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Simplifying 6 + -6(x + 2) = 8 + x Reorder the terms: 6 + -6(2 + x) = 8 + x 6 + (2 * -6 + x * -6) = 8 + x 6 + (-12 + -6x) = 8 + x Combine like terms: 6 + -12 = -6 -6 + -6x = 8 + x Solving -6 + -6x = 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. -6 + -6x + -1x = 8 + x + -1x Combine like terms: -6x + -1x = -7x -6 + -7x = 8 + x + -1x Combine like terms: x + -1x = 0 -6 + -7x = 8 + 0 -6 + -7x = 8 Add '6' to each side of the equation. -6 + 6 + -7x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 8 + 6 -7x = 8 + 6 Combine like terms: 8 + 6 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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