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Simplifying 5x + -4 + 2x + 8 = 13 + -3x + 11 Reorder the terms: -4 + 8 + 5x + 2x = 13 + -3x + 11 Combine like terms: -4 + 8 = 4 4 + 5x + 2x = 13 + -3x + 11 Combine like terms: 5x + 2x = 7x 4 + 7x = 13 + -3x + 11 Reorder the terms: 4 + 7x = 13 + 11 + -3x Combine like terms: 13 + 11 = 24 4 + 7x = 24 + -3x Solving 4 + 7x = 24 + -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. 4 + 7x + 3x = 24 + -3x + 3x Combine like terms: 7x + 3x = 10x 4 + 10x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 10x = 24 + 0 4 + 10x = 24 Add '-4' to each side of the equation. 4 + -4 + 10x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 24 + -4 10x = 24 + -4 Combine like terms: 24 + -4 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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