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Simplifying -5x + 13x + 6x = 6 + x + 7 Combine like terms: -5x + 13x = 8x 8x + 6x = 6 + x + 7 Combine like terms: 8x + 6x = 14x 14x = 6 + x + 7 Reorder the terms: 14x = 6 + 7 + x Combine like terms: 6 + 7 = 13 14x = 13 + x Solving 14x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14x + -1x = 13 + x + -1x Combine like terms: 14x + -1x = 13x 13x = 13 + x + -1x Combine like terms: x + -1x = 0 13x = 13 + 0 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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