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Simplifying -6(x + -6) = 2(x + 4) Reorder the terms: -6(-6 + x) = 2(x + 4) (-6 * -6 + x * -6) = 2(x + 4) (36 + -6x) = 2(x + 4) Reorder the terms: 36 + -6x = 2(4 + x) 36 + -6x = (4 * 2 + x * 2) 36 + -6x = (8 + 2x) Solving 36 + -6x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 36 + -6x + -2x = 8 + 2x + -2x Combine like terms: -6x + -2x = -8x 36 + -8x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + -8x = 8 + 0 36 + -8x = 8 Add '-36' to each side of the equation. 36 + -36 + -8x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -8x = 8 + -36 -8x = 8 + -36 Combine like terms: 8 + -36 = -28 -8x = -28 Divide each side by '-8'. x = 3.5 Simplifying x = 3.5
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