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Simplifying 17(X + -3) = 3(7X + -15) Reorder the terms: 17(-3 + X) = 3(7X + -15) (-3 * 17 + X * 17) = 3(7X + -15) (-51 + 17X) = 3(7X + -15) Reorder the terms: -51 + 17X = 3(-15 + 7X) -51 + 17X = (-15 * 3 + 7X * 3) -51 + 17X = (-45 + 21X) Solving -51 + 17X = -45 + 21X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21X' to each side of the equation. -51 + 17X + -21X = -45 + 21X + -21X Combine like terms: 17X + -21X = -4X -51 + -4X = -45 + 21X + -21X Combine like terms: 21X + -21X = 0 -51 + -4X = -45 + 0 -51 + -4X = -45 Add '51' to each side of the equation. -51 + 51 + -4X = -45 + 51 Combine like terms: -51 + 51 = 0 0 + -4X = -45 + 51 -4X = -45 + 51 Combine like terms: -45 + 51 = 6 -4X = 6 Divide each side by '-4'. X = -1.5 Simplifying X = -1.5
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