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Simplifying 8x + -5 + -3x + 7 = 13 + -3x + 4 + 5x Reorder the terms: -5 + 7 + 8x + -3x = 13 + -3x + 4 + 5x Combine like terms: -5 + 7 = 2 2 + 8x + -3x = 13 + -3x + 4 + 5x Combine like terms: 8x + -3x = 5x 2 + 5x = 13 + -3x + 4 + 5x Reorder the terms: 2 + 5x = 13 + 4 + -3x + 5x Combine like terms: 13 + 4 = 17 2 + 5x = 17 + -3x + 5x Combine like terms: -3x + 5x = 2x 2 + 5x = 17 + 2x Solving 2 + 5x = 17 + 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. 2 + 5x + -2x = 17 + 2x + -2x Combine like terms: 5x + -2x = 3x 2 + 3x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 3x = 17 + 0 2 + 3x = 17 Add '-2' to each side of the equation. 2 + -2 + 3x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 17 + -2 3x = 17 + -2 Combine like terms: 17 + -2 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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