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Simplifying -8x + -30 = 2(1 + -6x) Reorder the terms: -30 + -8x = 2(1 + -6x) -30 + -8x = (1 * 2 + -6x * 2) -30 + -8x = (2 + -12x) Solving -30 + -8x = 2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -30 + -8x + 12x = 2 + -12x + 12x Combine like terms: -8x + 12x = 4x -30 + 4x = 2 + -12x + 12x Combine like terms: -12x + 12x = 0 -30 + 4x = 2 + 0 -30 + 4x = 2 Add '30' to each side of the equation. -30 + 30 + 4x = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 2 + 30 4x = 2 + 30 Combine like terms: 2 + 30 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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