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Simplifying -6(x + 2) = 10 + -8x + -6 Reorder the terms: -6(2 + x) = 10 + -8x + -6 (2 * -6 + x * -6) = 10 + -8x + -6 (-12 + -6x) = 10 + -8x + -6 Reorder the terms: -12 + -6x = 10 + -6 + -8x Combine like terms: 10 + -6 = 4 -12 + -6x = 4 + -8x Solving -12 + -6x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + -6x + 8x = 4 + -8x + 8x Combine like terms: -6x + 8x = 2x -12 + 2x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 2x = 4 + 0 -12 + 2x = 4 Add '12' to each side of the equation. -12 + 12 + 2x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 4 + 12 2x = 4 + 12 Combine like terms: 4 + 12 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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