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Simplifying -4(2x + 6) = 30 + x Reorder the terms: -4(6 + 2x) = 30 + x (6 * -4 + 2x * -4) = 30 + x (-24 + -8x) = 30 + x Solving -24 + -8x = 30 + 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 = 30 + x + -1x Combine like terms: -8x + -1x = -9x -24 + -9x = 30 + x + -1x Combine like terms: x + -1x = 0 -24 + -9x = 30 + 0 -24 + -9x = 30 Add '24' to each side of the equation. -24 + 24 + -9x = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -9x = 30 + 24 -9x = 30 + 24 Combine like terms: 30 + 24 = 54 -9x = 54 Divide each side by '-9'. x = -6 Simplifying x = -6
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