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Simplifying 3(4X + -5) + -5(3 + -1X) = 7X + -10 Reorder the terms: 3(-5 + 4X) + -5(3 + -1X) = 7X + -10 (-5 * 3 + 4X * 3) + -5(3 + -1X) = 7X + -10 (-15 + 12X) + -5(3 + -1X) = 7X + -10 -15 + 12X + (3 * -5 + -1X * -5) = 7X + -10 -15 + 12X + (-15 + 5X) = 7X + -10 Reorder the terms: -15 + -15 + 12X + 5X = 7X + -10 Combine like terms: -15 + -15 = -30 -30 + 12X + 5X = 7X + -10 Combine like terms: 12X + 5X = 17X -30 + 17X = 7X + -10 Reorder the terms: -30 + 17X = -10 + 7X Solving -30 + 17X = -10 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -30 + 17X + -7X = -10 + 7X + -7X Combine like terms: 17X + -7X = 10X -30 + 10X = -10 + 7X + -7X Combine like terms: 7X + -7X = 0 -30 + 10X = -10 + 0 -30 + 10X = -10 Add '30' to each side of the equation. -30 + 30 + 10X = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 10X = -10 + 30 10X = -10 + 30 Combine like terms: -10 + 30 = 20 10X = 20 Divide each side by '10'. X = 2 Simplifying X = 2
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