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Simplifying 20 = 7x + 5(-4x + 17) Reorder the terms: 20 = 7x + 5(17 + -4x) 20 = 7x + (17 * 5 + -4x * 5) 20 = 7x + (85 + -20x) Reorder the terms: 20 = 85 + 7x + -20x Combine like terms: 7x + -20x = -13x 20 = 85 + -13x Solving 20 = 85 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 20 + 13x = 85 + -13x + 13x Combine like terms: -13x + 13x = 0 20 + 13x = 85 + 0 20 + 13x = 85 Add '-20' to each side of the equation. 20 + -20 + 13x = 85 + -20 Combine like terms: 20 + -20 = 0 0 + 13x = 85 + -20 13x = 85 + -20 Combine like terms: 85 + -20 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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