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Simplifying 2(3X + 3) + -4(5X + -3) = -3X + -5X Reorder the terms: 2(3 + 3X) + -4(5X + -3) = -3X + -5X (3 * 2 + 3X * 2) + -4(5X + -3) = -3X + -5X (6 + 6X) + -4(5X + -3) = -3X + -5X Reorder the terms: 6 + 6X + -4(-3 + 5X) = -3X + -5X 6 + 6X + (-3 * -4 + 5X * -4) = -3X + -5X 6 + 6X + (12 + -20X) = -3X + -5X Reorder the terms: 6 + 12 + 6X + -20X = -3X + -5X Combine like terms: 6 + 12 = 18 18 + 6X + -20X = -3X + -5X Combine like terms: 6X + -20X = -14X 18 + -14X = -3X + -5X Combine like terms: -3X + -5X = -8X 18 + -14X = -8X Solving 18 + -14X = -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. 18 + -14X + 8X = -8X + 8X Combine like terms: -14X + 8X = -6X 18 + -6X = -8X + 8X Combine like terms: -8X + 8X = 0 18 + -6X = 0 Add '-18' to each side of the equation. 18 + -18 + -6X = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6X = 0 + -18 -6X = 0 + -18 Combine like terms: 0 + -18 = -18 -6X = -18 Divide each side by '-6'. X = 3 Simplifying X = 3
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