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Simplifying 3x + 24 = 5x + -2(4x + 3) Reorder the terms: 24 + 3x = 5x + -2(4x + 3) Reorder the terms: 24 + 3x = 5x + -2(3 + 4x) 24 + 3x = 5x + (3 * -2 + 4x * -2) 24 + 3x = 5x + (-6 + -8x) Reorder the terms: 24 + 3x = -6 + 5x + -8x Combine like terms: 5x + -8x = -3x 24 + 3x = -6 + -3x Solving 24 + 3x = -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 + 3x + 3x = -6 + -3x + 3x Combine like terms: 3x + 3x = 6x 24 + 6x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 6x = -6 + 0 24 + 6x = -6 Add '-24' to each side of the equation. 24 + -24 + 6x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = -6 + -24 6x = -6 + -24 Combine like terms: -6 + -24 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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