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Simplifying -7x + -3(2x + -6) = -12 + -8x Reorder the terms: -7x + -3(-6 + 2x) = -12 + -8x -7x + (-6 * -3 + 2x * -3) = -12 + -8x -7x + (18 + -6x) = -12 + -8x Reorder the terms: 18 + -7x + -6x = -12 + -8x Combine like terms: -7x + -6x = -13x 18 + -13x = -12 + -8x Solving 18 + -13x = -12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 18 + -13x + 8x = -12 + -8x + 8x Combine like terms: -13x + 8x = -5x 18 + -5x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 18 + -5x = -12 + 0 18 + -5x = -12 Add '-18' to each side of the equation. 18 + -18 + -5x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = -12 + -18 -5x = -12 + -18 Combine like terms: -12 + -18 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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