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Simplifying 6x + -2x + 7 = x + -6 + 13 Reorder the terms: 7 + 6x + -2x = x + -6 + 13 Combine like terms: 6x + -2x = 4x 7 + 4x = x + -6 + 13 Reorder the terms: 7 + 4x = -6 + 13 + x Combine like terms: -6 + 13 = 7 7 + 4x = 7 + x Add '-7' to each side of the equation. 7 + -7 + 4x = 7 + -7 + x Combine like terms: 7 + -7 = 0 0 + 4x = 7 + -7 + x 4x = 7 + -7 + x Combine like terms: 7 + -7 = 0 4x = 0 + x 4x = x Solving 4x = 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. 4x + -1x = x + -1x Combine like terms: 4x + -1x = 3x 3x = x + -1x Combine like terms: x + -1x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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