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Simplifying 5X + -2 = -3(4X + -9) Reorder the terms: -2 + 5X = -3(4X + -9) Reorder the terms: -2 + 5X = -3(-9 + 4X) -2 + 5X = (-9 * -3 + 4X * -3) -2 + 5X = (27 + -12X) Solving -2 + 5X = 27 + -12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12X' to each side of the equation. -2 + 5X + 12X = 27 + -12X + 12X Combine like terms: 5X + 12X = 17X -2 + 17X = 27 + -12X + 12X Combine like terms: -12X + 12X = 0 -2 + 17X = 27 + 0 -2 + 17X = 27 Add '2' to each side of the equation. -2 + 2 + 17X = 27 + 2 Combine like terms: -2 + 2 = 0 0 + 17X = 27 + 2 17X = 27 + 2 Combine like terms: 27 + 2 = 29 17X = 29 Divide each side by '17'. X = 1.705882353 Simplifying X = 1.705882353
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