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Simplifying 7 + 4(6 + -5x) = 17 + -13x 7 + (6 * 4 + -5x * 4) = 17 + -13x 7 + (24 + -20x) = 17 + -13x Combine like terms: 7 + 24 = 31 31 + -20x = 17 + -13x Solving 31 + -20x = 17 + -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. 31 + -20x + 13x = 17 + -13x + 13x Combine like terms: -20x + 13x = -7x 31 + -7x = 17 + -13x + 13x Combine like terms: -13x + 13x = 0 31 + -7x = 17 + 0 31 + -7x = 17 Add '-31' to each side of the equation. 31 + -31 + -7x = 17 + -31 Combine like terms: 31 + -31 = 0 0 + -7x = 17 + -31 -7x = 17 + -31 Combine like terms: 17 + -31 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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