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Simplifying 2x + -1(5 + -1X) = 3(3x + -5) 2x + (5 * -1 + -1X * -1) = 3(3x + -5) 2x + (-5 + 1X) = 3(3x + -5) Reorder the terms: -5 + 1X + 2x = 3(3x + -5) Reorder the terms: -5 + 1X + 2x = 3(-5 + 3x) -5 + 1X + 2x = (-5 * 3 + 3x * 3) -5 + 1X + 2x = (-15 + 9x) Solving -5 + 1X + 2x = -15 + 9x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 1X + 5 + 2x = -15 + 5 + 9x Reorder the terms: -5 + 5 + 1X + 2x = -15 + 5 + 9x Combine like terms: -5 + 5 = 0 0 + 1X + 2x = -15 + 5 + 9x 1X + 2x = -15 + 5 + 9x Combine like terms: -15 + 5 = -10 1X + 2x = -10 + 9x Add '-2x' to each side of the equation. 1X + 2x + -2x = -10 + 9x + -2x Combine like terms: 2x + -2x = 0 1X + 0 = -10 + 9x + -2x 1X = -10 + 9x + -2x Combine like terms: 9x + -2x = 7x 1X = -10 + 7x Divide each side by '1'. X = -10 + 7x Simplifying X = -10 + 7x
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