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Simplifying 6(x + -4) = 5(x + 5) Reorder the terms: 6(-4 + x) = 5(x + 5) (-4 * 6 + x * 6) = 5(x + 5) (-24 + 6x) = 5(x + 5) Reorder the terms: -24 + 6x = 5(5 + x) -24 + 6x = (5 * 5 + x * 5) -24 + 6x = (25 + 5x) Solving -24 + 6x = 25 + 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 = 25 + 5x + -5x Combine like terms: 6x + -5x = 1x -24 + 1x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 1x = 25 + 0 -24 + 1x = 25 Add '24' to each side of the equation. -24 + 24 + 1x = 25 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 25 + 24 1x = 25 + 24 Combine like terms: 25 + 24 = 49 1x = 49 Divide each side by '1'. x = 49 Simplifying x = 49
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