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Simplifying 9x + -5x + 8 + -3 = 7x + 13 + -5x + -2 Reorder the terms: 8 + -3 + 9x + -5x = 7x + 13 + -5x + -2 Combine like terms: 8 + -3 = 5 5 + 9x + -5x = 7x + 13 + -5x + -2 Combine like terms: 9x + -5x = 4x 5 + 4x = 7x + 13 + -5x + -2 Reorder the terms: 5 + 4x = 13 + -2 + 7x + -5x Combine like terms: 13 + -2 = 11 5 + 4x = 11 + 7x + -5x Combine like terms: 7x + -5x = 2x 5 + 4x = 11 + 2x Solving 5 + 4x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 4x + -2x = 11 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = 11 + 0 5 + 2x = 11 Add '-5' to each side of the equation. 5 + -5 + 2x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 11 + -5 2x = 11 + -5 Combine like terms: 11 + -5 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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