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Simplifying -7(-13 + 3x) = 31 + -1x (-13 * -7 + 3x * -7) = 31 + -1x (91 + -21x) = 31 + -1x Solving 91 + -21x = 31 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 91 + -21x + x = 31 + -1x + x Combine like terms: -21x + x = -20x 91 + -20x = 31 + -1x + x Combine like terms: -1x + x = 0 91 + -20x = 31 + 0 91 + -20x = 31 Add '-91' to each side of the equation. 91 + -91 + -20x = 31 + -91 Combine like terms: 91 + -91 = 0 0 + -20x = 31 + -91 -20x = 31 + -91 Combine like terms: 31 + -91 = -60 -20x = -60 Divide each side by '-20'. x = 3 Simplifying x = 3
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