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Simplifying 6 = 2(x + -7) + -6x Reorder the terms: 6 = 2(-7 + x) + -6x 6 = (-7 * 2 + x * 2) + -6x 6 = (-14 + 2x) + -6x Combine like terms: 2x + -6x = -4x 6 = -14 + -4x Solving 6 = -14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 4x = -14 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 4x = -14 + 0 6 + 4x = -14 Add '-6' to each side of the equation. 6 + -6 + 4x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -14 + -6 4x = -14 + -6 Combine like terms: -14 + -6 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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