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Simplifying 3(x + 4) + 2(x + -3) = -24 Reorder the terms: 3(4 + x) + 2(x + -3) = -24 (4 * 3 + x * 3) + 2(x + -3) = -24 (12 + 3x) + 2(x + -3) = -24 Reorder the terms: 12 + 3x + 2(-3 + x) = -24 12 + 3x + (-3 * 2 + x * 2) = -24 12 + 3x + (-6 + 2x) = -24 Reorder the terms: 12 + -6 + 3x + 2x = -24 Combine like terms: 12 + -6 = 6 6 + 3x + 2x = -24 Combine like terms: 3x + 2x = 5x 6 + 5x = -24 Solving 6 + 5x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -24 + -6 5x = -24 + -6 Combine like terms: -24 + -6 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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