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Simplifying -2x + 5(-4x + 13) = 175 Reorder the terms: -2x + 5(13 + -4x) = 175 -2x + (13 * 5 + -4x * 5) = 175 -2x + (65 + -20x) = 175 Reorder the terms: 65 + -2x + -20x = 175 Combine like terms: -2x + -20x = -22x 65 + -22x = 175 Solving 65 + -22x = 175 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 + -22x = 175 + -65 Combine like terms: 65 + -65 = 0 0 + -22x = 175 + -65 -22x = 175 + -65 Combine like terms: 175 + -65 = 110 -22x = 110 Divide each side by '-22'. x = -5 Simplifying x = -5
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