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Simplifying 4x + -5(-7x + -13) = -130 Reorder the terms: 4x + -5(-13 + -7x) = -130 4x + (-13 * -5 + -7x * -5) = -130 4x + (65 + 35x) = -130 Reorder the terms: 65 + 4x + 35x = -130 Combine like terms: 4x + 35x = 39x 65 + 39x = -130 Solving 65 + 39x = -130 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 39x = -130 + -65 Combine like terms: 65 + -65 = 0 0 + 39x = -130 + -65 39x = -130 + -65 Combine like terms: -130 + -65 = -195 39x = -195 Divide each side by '39'. x = -5 Simplifying x = -5
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