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Simplifying -4(2x + -6) = x + 6 Reorder the terms: -4(-6 + 2x) = x + 6 (-6 * -4 + 2x * -4) = x + 6 (24 + -8x) = x + 6 Reorder the terms: 24 + -8x = 6 + x Solving 24 + -8x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + -8x + -1x = 6 + x + -1x Combine like terms: -8x + -1x = -9x 24 + -9x = 6 + x + -1x Combine like terms: x + -1x = 0 24 + -9x = 6 + 0 24 + -9x = 6 Add '-24' to each side of the equation. 24 + -24 + -9x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = 6 + -24 -9x = 6 + -24 Combine like terms: 6 + -24 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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