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Simplifying -2x + -6(4x + -7) = -12 + -8x Reorder the terms: -2x + -6(-7 + 4x) = -12 + -8x -2x + (-7 * -6 + 4x * -6) = -12 + -8x -2x + (42 + -24x) = -12 + -8x Reorder the terms: 42 + -2x + -24x = -12 + -8x Combine like terms: -2x + -24x = -26x 42 + -26x = -12 + -8x Solving 42 + -26x = -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. 42 + -26x + 8x = -12 + -8x + 8x Combine like terms: -26x + 8x = -18x 42 + -18x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + -18x = -12 + 0 42 + -18x = -12 Add '-42' to each side of the equation. 42 + -42 + -18x = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -18x = -12 + -42 -18x = -12 + -42 Combine like terms: -12 + -42 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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