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Simplifying 7(-1x + 1) + -7x = -91 Reorder the terms: 7(1 + -1x) + -7x = -91 (1 * 7 + -1x * 7) + -7x = -91 (7 + -7x) + -7x = -91 Combine like terms: -7x + -7x = -14x 7 + -14x = -91 Solving 7 + -14x = -91 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -14x = -91 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = -91 + -7 -14x = -91 + -7 Combine like terms: -91 + -7 = -98 -14x = -98 Divide each side by '-14'. x = 7 Simplifying x = 7
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