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