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Simplifying X + -52 = -1.5(18 + X) Reorder the terms: -52 + X = -1.5(18 + X) -52 + X = (18 * -1.5 + X * -1.5) -52 + X = (-27 + -1.5X) Solving -52 + X = -27 + -1.5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1.5X' to each side of the equation. -52 + X + 1.5X = -27 + -1.5X + 1.5X Combine like terms: X + 1.5X = 2.5X -52 + 2.5X = -27 + -1.5X + 1.5X Combine like terms: -1.5X + 1.5X = 0.0 -52 + 2.5X = -27 + 0.0 -52 + 2.5X = -27 Add '52' to each side of the equation. -52 + 52 + 2.5X = -27 + 52 Combine like terms: -52 + 52 = 0 0 + 2.5X = -27 + 52 2.5X = -27 + 52 Combine like terms: -27 + 52 = 25 2.5X = 25 Divide each side by '2.5'. X = 10 Simplifying X = 10
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