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Simplifying -2x + 8 = -6(x + 12) Reorder the terms: 8 + -2x = -6(x + 12) Reorder the terms: 8 + -2x = -6(12 + x) 8 + -2x = (12 * -6 + x * -6) 8 + -2x = (-72 + -6x) Solving 8 + -2x = -72 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -2x + 6x = -72 + -6x + 6x Combine like terms: -2x + 6x = 4x 8 + 4x = -72 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 4x = -72 + 0 8 + 4x = -72 Add '-8' to each side of the equation. 8 + -8 + 4x = -72 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -72 + -8 4x = -72 + -8 Combine like terms: -72 + -8 = -80 4x = -80 Divide each side by '4'. x = -20 Simplifying x = -20
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