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Simplifying 3(X + -3x) + -6(2x + 1) = 90 (X * 3 + -3x * 3) + -6(2x + 1) = 90 (3X + -9x) + -6(2x + 1) = 90 Reorder the terms: 3X + -9x + -6(1 + 2x) = 90 3X + -9x + (1 * -6 + 2x * -6) = 90 3X + -9x + (-6 + -12x) = 90 Reorder the terms: -6 + 3X + -9x + -12x = 90 Combine like terms: -9x + -12x = -21x -6 + 3X + -21x = 90 Solving -6 + 3X + -21x = 90 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3X + 6 + -21x = 90 + 6 Reorder the terms: -6 + 6 + 3X + -21x = 90 + 6 Combine like terms: -6 + 6 = 0 0 + 3X + -21x = 90 + 6 3X + -21x = 90 + 6 Combine like terms: 90 + 6 = 96 3X + -21x = 96 Add '21x' to each side of the equation. 3X + -21x + 21x = 96 + 21x Combine like terms: -21x + 21x = 0 3X + 0 = 96 + 21x 3X = 96 + 21x Divide each side by '3'. X = 32 + 7x Simplifying X = 32 + 7x
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