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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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