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Simplifying 6(5x + -4) = 6x + 24 Reorder the terms: 6(-4 + 5x) = 6x + 24 (-4 * 6 + 5x * 6) = 6x + 24 (-24 + 30x) = 6x + 24 Reorder the terms: -24 + 30x = 24 + 6x Solving -24 + 30x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 30x + -6x = 24 + 6x + -6x Combine like terms: 30x + -6x = 24x -24 + 24x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 24x = 24 + 0 -24 + 24x = 24 Add '24' to each side of the equation. -24 + 24 + 24x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 24x = 24 + 24 24x = 24 + 24 Combine like terms: 24 + 24 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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