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Simplifying 6(x + -6) = 2 + 8x + -6 Reorder the terms: 6(-6 + x) = 2 + 8x + -6 (-6 * 6 + x * 6) = 2 + 8x + -6 (-36 + 6x) = 2 + 8x + -6 Reorder the terms: -36 + 6x = 2 + -6 + 8x Combine like terms: 2 + -6 = -4 -36 + 6x = -4 + 8x Solving -36 + 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. -36 + 6x + -8x = -4 + 8x + -8x Combine like terms: 6x + -8x = -2x -36 + -2x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + -2x = -4 + 0 -36 + -2x = -4 Add '36' to each side of the equation. -36 + 36 + -2x = -4 + 36 Combine like terms: -36 + 36 = 0 0 + -2x = -4 + 36 -2x = -4 + 36 Combine like terms: -4 + 36 = 32 -2x = 32 Divide each side by '-2'. x = -16 Simplifying x = -16
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