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Simplifying 5(x + -6) = 2x + -24 Reorder the terms: 5(-6 + x) = 2x + -24 (-6 * 5 + x * 5) = 2x + -24 (-30 + 5x) = 2x + -24 Reorder the terms: -30 + 5x = -24 + 2x Solving -30 + 5x = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + 5x + -2x = -24 + 2x + -2x Combine like terms: 5x + -2x = 3x -30 + 3x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 3x = -24 + 0 -30 + 3x = -24 Add '30' to each side of the equation. -30 + 30 + 3x = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -24 + 30 3x = -24 + 30 Combine like terms: -24 + 30 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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