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Simplifying 3X + -1(2X + 10) + -5 = 9X + 2(x + 7.5) Reorder the terms: 3X + -1(10 + 2X) + -5 = 9X + 2(x + 7.5) 3X + (10 * -1 + 2X * -1) + -5 = 9X + 2(x + 7.5) 3X + (-10 + -2X) + -5 = 9X + 2(x + 7.5) Reorder the terms: -10 + -5 + 3X + -2X = 9X + 2(x + 7.5) Combine like terms: -10 + -5 = -15 -15 + 3X + -2X = 9X + 2(x + 7.5) Combine like terms: 3X + -2X = 1X -15 + 1X = 9X + 2(x + 7.5) Reorder the terms: -15 + 1X = 9X + 2(7.5 + x) -15 + 1X = 9X + (7.5 * 2 + x * 2) -15 + 1X = 9X + (15 + 2x) Reorder the terms: -15 + 1X = 15 + 9X + 2x Solving -15 + 1X = 15 + 9X + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. -15 + 1X + -9X = 15 + 9X + -9X + 2x Combine like terms: 1X + -9X = -8X -15 + -8X = 15 + 9X + -9X + 2x Combine like terms: 9X + -9X = 0 -15 + -8X = 15 + 0 + 2x -15 + -8X = 15 + 2x Add '15' to each side of the equation. -15 + 15 + -8X = 15 + 15 + 2x Combine like terms: -15 + 15 = 0 0 + -8X = 15 + 15 + 2x -8X = 15 + 15 + 2x Combine like terms: 15 + 15 = 30 -8X = 30 + 2x Divide each side by '-8'. X = -3.75 + -0.25x Simplifying X = -3.75 + -0.25x
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