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Simplifying x2 + 5x = 8 + x2 + -3x Reorder the terms: 5x + x2 = 8 + x2 + -3x Reorder the terms: 5x + x2 = 8 + -3x + x2 Add '-1x2' to each side of the equation. 5x + x2 + -1x2 = 8 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x + 0 = 8 + -3x + x2 + -1x2 5x = 8 + -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x = 8 + -3x + 0 5x = 8 + -3x Solving 5x = 8 + -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. 5x + 3x = 8 + -3x + 3x Combine like terms: 5x + 3x = 8x 8x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 8x = 8 + 0 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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