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Simplifying 4(5x + 85) = 3(x + 34) Reorder the terms: 4(85 + 5x) = 3(x + 34) (85 * 4 + 5x * 4) = 3(x + 34) (340 + 20x) = 3(x + 34) Reorder the terms: 340 + 20x = 3(34 + x) 340 + 20x = (34 * 3 + x * 3) 340 + 20x = (102 + 3x) Solving 340 + 20x = 102 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 340 + 20x + -3x = 102 + 3x + -3x Combine like terms: 20x + -3x = 17x 340 + 17x = 102 + 3x + -3x Combine like terms: 3x + -3x = 0 340 + 17x = 102 + 0 340 + 17x = 102 Add '-340' to each side of the equation. 340 + -340 + 17x = 102 + -340 Combine like terms: 340 + -340 = 0 0 + 17x = 102 + -340 17x = 102 + -340 Combine like terms: 102 + -340 = -238 17x = -238 Divide each side by '17'. x = -14 Simplifying x = -14
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