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Simplifying 5x + 6 = 13 + -3x Reorder the terms: 6 + 5x = 13 + -3x Solving 6 + 5x = 13 + -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. 6 + 5x + 3x = 13 + -3x + 3x Combine like terms: 5x + 3x = 8x 6 + 8x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 8x = 13 + 0 6 + 8x = 13 Add '-6' to each side of the equation. 6 + -6 + 8x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 13 + -6 8x = 13 + -6 Combine like terms: 13 + -6 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875
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