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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 + 2 + 6x = 8x + -6 Combine like terms: -36 + 2 = -34 -34 + 6x = 8x + -6 Reorder the terms: -34 + 6x = -6 + 8x Solving -34 + 6x = -6 + 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. -34 + 6x + -8x = -6 + 8x + -8x Combine like terms: 6x + -8x = -2x -34 + -2x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + -2x = -6 + 0 -34 + -2x = -6 Add '34' to each side of the equation. -34 + 34 + -2x = -6 + 34 Combine like terms: -34 + 34 = 0 0 + -2x = -6 + 34 -2x = -6 + 34 Combine like terms: -6 + 34 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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