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Simplifying 9x + -6x + 6 = x + -7 + 13 Reorder the terms: 6 + 9x + -6x = x + -7 + 13 Combine like terms: 9x + -6x = 3x 6 + 3x = x + -7 + 13 Reorder the terms: 6 + 3x = -7 + 13 + x Combine like terms: -7 + 13 = 6 6 + 3x = 6 + x Add '-6' to each side of the equation. 6 + -6 + 3x = 6 + -6 + x Combine like terms: 6 + -6 = 0 0 + 3x = 6 + -6 + x 3x = 6 + -6 + x Combine like terms: 6 + -6 = 0 3x = 0 + x 3x = x Solving 3x = 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. 3x + -1x = x + -1x Combine like terms: 3x + -1x = 2x 2x = x + -1x Combine like terms: x + -1x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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