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Simplifying 3x + -24 = 14 + 5x + -34 Reorder the terms: -24 + 3x = 14 + 5x + -34 Reorder the terms: -24 + 3x = 14 + -34 + 5x Combine like terms: 14 + -34 = -20 -24 + 3x = -20 + 5x Solving -24 + 3x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 3x + -5x = -20 + 5x + -5x Combine like terms: 3x + -5x = -2x -24 + -2x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + -2x = -20 + 0 -24 + -2x = -20 Add '24' to each side of the equation. -24 + 24 + -2x = -20 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -20 + 24 -2x = -20 + 24 Combine like terms: -20 + 24 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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