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Simplifying -24 + 3x = 6(5x + 5) Reorder the terms: -24 + 3x = 6(5 + 5x) -24 + 3x = (5 * 6 + 5x * 6) -24 + 3x = (30 + 30x) Solving -24 + 3x = 30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -24 + 3x + -30x = 30 + 30x + -30x Combine like terms: 3x + -30x = -27x -24 + -27x = 30 + 30x + -30x Combine like terms: 30x + -30x = 0 -24 + -27x = 30 + 0 -24 + -27x = 30 Add '24' to each side of the equation. -24 + 24 + -27x = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -27x = 30 + 24 -27x = 30 + 24 Combine like terms: 30 + 24 = 54 -27x = 54 Divide each side by '-27'. x = -2 Simplifying x = -2
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