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Simplifying 2(-8x + -6) + 6 = 12 + -7x Reorder the terms: 2(-6 + -8x) + 6 = 12 + -7x (-6 * 2 + -8x * 2) + 6 = 12 + -7x (-12 + -16x) + 6 = 12 + -7x Reorder the terms: -12 + 6 + -16x = 12 + -7x Combine like terms: -12 + 6 = -6 -6 + -16x = 12 + -7x Solving -6 + -16x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6 + -16x + 7x = 12 + -7x + 7x Combine like terms: -16x + 7x = -9x -6 + -9x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + -9x = 12 + 0 -6 + -9x = 12 Add '6' to each side of the equation. -6 + 6 + -9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 12 + 6 -9x = 12 + 6 Combine like terms: 12 + 6 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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