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Simplifying 5x + -7(-2x + -13) = -61 Reorder the terms: 5x + -7(-13 + -2x) = -61 5x + (-13 * -7 + -2x * -7) = -61 5x + (91 + 14x) = -61 Reorder the terms: 91 + 5x + 14x = -61 Combine like terms: 5x + 14x = 19x 91 + 19x = -61 Solving 91 + 19x = -61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + 19x = -61 + -91 Combine like terms: 91 + -91 = 0 0 + 19x = -61 + -91 19x = -61 + -91 Combine like terms: -61 + -91 = -152 19x = -152 Divide each side by '19'. x = -8 Simplifying x = -8
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