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Simplifying 6(4 + x) = 5(x + -4) (4 * 6 + x * 6) = 5(x + -4) (24 + 6x) = 5(x + -4) Reorder the terms: 24 + 6x = 5(-4 + x) 24 + 6x = (-4 * 5 + x * 5) 24 + 6x = (-20 + 5x) Solving 24 + 6x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 6x + -5x = -20 + 5x + -5x Combine like terms: 6x + -5x = 1x 24 + 1x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 1x = -20 + 0 24 + 1x = -20 Add '-24' to each side of the equation. 24 + -24 + 1x = -20 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = -20 + -24 1x = -20 + -24 Combine like terms: -20 + -24 = -44 1x = -44 Divide each side by '1'. x = -44 Simplifying x = -44
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