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Simplifying -8x + 30 = -2(x + -6) Reorder the terms: 30 + -8x = -2(x + -6) Reorder the terms: 30 + -8x = -2(-6 + x) 30 + -8x = (-6 * -2 + x * -2) 30 + -8x = (12 + -2x) Solving 30 + -8x = 12 + -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. 30 + -8x + 2x = 12 + -2x + 2x Combine like terms: -8x + 2x = -6x 30 + -6x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + -6x = 12 + 0 30 + -6x = 12 Add '-30' to each side of the equation. 30 + -30 + -6x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 12 + -30 -6x = 12 + -30 Combine like terms: 12 + -30 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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