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Simplifying 15(X + -4) + -2(x + 3) + -3(x + 8) = 0 Reorder the terms: 15(-4 + X) + -2(x + 3) + -3(x + 8) = 0 (-4 * 15 + X * 15) + -2(x + 3) + -3(x + 8) = 0 (-60 + 15X) + -2(x + 3) + -3(x + 8) = 0 Reorder the terms: -60 + 15X + -2(3 + x) + -3(x + 8) = 0 -60 + 15X + (3 * -2 + x * -2) + -3(x + 8) = 0 -60 + 15X + (-6 + -2x) + -3(x + 8) = 0 Reorder the terms: -60 + 15X + -6 + -2x + -3(8 + x) = 0 -60 + 15X + -6 + -2x + (8 * -3 + x * -3) = 0 -60 + 15X + -6 + -2x + (-24 + -3x) = 0 Reorder the terms: -60 + -6 + -24 + 15X + -2x + -3x = 0 Combine like terms: -60 + -6 = -66 -66 + -24 + 15X + -2x + -3x = 0 Combine like terms: -66 + -24 = -90 -90 + 15X + -2x + -3x = 0 Combine like terms: -2x + -3x = -5x -90 + 15X + -5x = 0 Solving -90 + 15X + -5x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 15X + 90 + -5x = 0 + 90 Reorder the terms: -90 + 90 + 15X + -5x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 15X + -5x = 0 + 90 15X + -5x = 0 + 90 Combine like terms: 0 + 90 = 90 15X + -5x = 90 Add '5x' to each side of the equation. 15X + -5x + 5x = 90 + 5x Combine like terms: -5x + 5x = 0 15X + 0 = 90 + 5x 15X = 90 + 5x Divide each side by '15'. X = 6 + 0.3333333333x Simplifying X = 6 + 0.3333333333x
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