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Simplifying 3x + -5x + 4 = 24 + -4x + -12 Reorder the terms: 4 + 3x + -5x = 24 + -4x + -12 Combine like terms: 3x + -5x = -2x 4 + -2x = 24 + -4x + -12 Reorder the terms: 4 + -2x = 24 + -12 + -4x Combine like terms: 24 + -12 = 12 4 + -2x = 12 + -4x Solving 4 + -2x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + -2x + 4x = 12 + -4x + 4x Combine like terms: -2x + 4x = 2x 4 + 2x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 2x = 12 + 0 4 + 2x = 12 Add '-4' to each side of the equation. 4 + -4 + 2x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 12 + -4 2x = 12 + -4 Combine like terms: 12 + -4 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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