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Simplifying 3x + -24 = 2(4x + 3) Reorder the terms: -24 + 3x = 2(4x + 3) Reorder the terms: -24 + 3x = 2(3 + 4x) -24 + 3x = (3 * 2 + 4x * 2) -24 + 3x = (6 + 8x) Solving -24 + 3x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 3x + -8x = 6 + 8x + -8x Combine like terms: 3x + -8x = -5x -24 + -5x = 6 + 8x + -8x Combine like terms: 8x + -8x = 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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