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Simplifying 5(4x + 34) = 3(x + 68) Reorder the terms: 5(34 + 4x) = 3(x + 68) (34 * 5 + 4x * 5) = 3(x + 68) (170 + 20x) = 3(x + 68) Reorder the terms: 170 + 20x = 3(68 + x) 170 + 20x = (68 * 3 + x * 3) 170 + 20x = (204 + 3x) Solving 170 + 20x = 204 + 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. 170 + 20x + -3x = 204 + 3x + -3x Combine like terms: 20x + -3x = 17x 170 + 17x = 204 + 3x + -3x Combine like terms: 3x + -3x = 0 170 + 17x = 204 + 0 170 + 17x = 204 Add '-170' to each side of the equation. 170 + -170 + 17x = 204 + -170 Combine like terms: 170 + -170 = 0 0 + 17x = 204 + -170 17x = 204 + -170 Combine like terms: 204 + -170 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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