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Simplifying -1x + 14 = 6x + -7 Reorder the terms: 14 + -1x = 6x + -7 Reorder the terms: 14 + -1x = -7 + 6x Solving 14 + -1x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + -1x + -6x = -7 + 6x + -6x Combine like terms: -1x + -6x = -7x 14 + -7x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -7x = -7 + 0 14 + -7x = -7 Add '-14' to each side of the equation. 14 + -14 + -7x = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -7 + -14 -7x = -7 + -14 Combine like terms: -7 + -14 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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