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Simplifying 91 = 6x + 7(3x + -14) Reorder the terms: 91 = 6x + 7(-14 + 3x) 91 = 6x + (-14 * 7 + 3x * 7) 91 = 6x + (-98 + 21x) Reorder the terms: 91 = -98 + 6x + 21x Combine like terms: 6x + 21x = 27x 91 = -98 + 27x Solving 91 = -98 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 91 + -27x = -98 + 27x + -27x Combine like terms: 27x + -27x = 0 91 + -27x = -98 + 0 91 + -27x = -98 Add '-91' to each side of the equation. 91 + -91 + -27x = -98 + -91 Combine like terms: 91 + -91 = 0 0 + -27x = -98 + -91 -27x = -98 + -91 Combine like terms: -98 + -91 = -189 -27x = -189 Divide each side by '-27'. x = 7 Simplifying x = 7
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