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Simplifying x + 6 = 13 + 6x + 2x Reorder the terms: 6 + x = 13 + 6x + 2x Combine like terms: 6x + 2x = 8x 6 + x = 13 + 8x Solving 6 + x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + x + -8x = 13 + 8x + -8x Combine like terms: x + -8x = -7x 6 + -7x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -7x = 13 + 0 6 + -7x = 13 Add '-6' to each side of the equation. 6 + -6 + -7x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 13 + -6 -7x = 13 + -6 Combine like terms: 13 + -6 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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