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Simplifying 91 = -7x + 7(6x + -12) Reorder the terms: 91 = -7x + 7(-12 + 6x) 91 = -7x + (-12 * 7 + 6x * 7) 91 = -7x + (-84 + 42x) Reorder the terms: 91 = -84 + -7x + 42x Combine like terms: -7x + 42x = 35x 91 = -84 + 35x Solving 91 = -84 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 91 + -35x = -84 + 35x + -35x Combine like terms: 35x + -35x = 0 91 + -35x = -84 + 0 91 + -35x = -84 Add '-91' to each side of the equation. 91 + -91 + -35x = -84 + -91 Combine like terms: 91 + -91 = 0 0 + -35x = -84 + -91 -35x = -84 + -91 Combine like terms: -84 + -91 = -175 -35x = -175 Divide each side by '-35'. x = 5 Simplifying x = 5
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