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Simplifying 4x + 3(5X + -17) = 120 Reorder the terms: 4x + 3(-17 + 5X) = 120 4x + (-17 * 3 + 5X * 3) = 120 4x + (-51 + 15X) = 120 Reorder the terms: -51 + 15X + 4x = 120 Solving -51 + 15X + 4x = 120 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 15X + 51 + 4x = 120 + 51 Reorder the terms: -51 + 51 + 15X + 4x = 120 + 51 Combine like terms: -51 + 51 = 0 0 + 15X + 4x = 120 + 51 15X + 4x = 120 + 51 Combine like terms: 120 + 51 = 171 15X + 4x = 171 Add '-4x' to each side of the equation. 15X + 4x + -4x = 171 + -4x Combine like terms: 4x + -4x = 0 15X + 0 = 171 + -4x 15X = 171 + -4x Divide each side by '15'. X = 11.4 + -0.2666666667x Simplifying X = 11.4 + -0.2666666667x
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