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Simplifying 6 = 3x + 1 + -1x + -7 Reorder the terms: 6 = 1 + -7 + 3x + -1x Combine like terms: 1 + -7 = -6 6 = -6 + 3x + -1x Combine like terms: 3x + -1x = 2x 6 = -6 + 2x Solving 6 = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -2x = -6 + 0 6 + -2x = -6 Add '-6' to each side of the equation. 6 + -6 + -2x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -6 + -6 -2x = -6 + -6 Combine like terms: -6 + -6 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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