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Simplifying -5(x + 6) = x + -24 Reorder the terms: -5(6 + x) = x + -24 (6 * -5 + x * -5) = x + -24 (-30 + -5x) = x + -24 Reorder the terms: -30 + -5x = -24 + x Solving -30 + -5x = -24 + 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. -30 + -5x + -1x = -24 + x + -1x Combine like terms: -5x + -1x = -6x -30 + -6x = -24 + x + -1x Combine like terms: x + -1x = 0 -30 + -6x = -24 + 0 -30 + -6x = -24 Add '30' to each side of the equation. -30 + 30 + -6x = -24 + 30 Combine like terms: -30 + 30 = 0 0 + -6x = -24 + 30 -6x = -24 + 30 Combine like terms: -24 + 30 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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