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Simplifying 3X + -2x + 1 = 7X + -3 + 5x + -1X + 24 Reorder the terms: 1 + 3X + -2x = 7X + -3 + 5x + -1X + 24 Reorder the terms: 1 + 3X + -2x = -3 + 24 + 7X + -1X + 5x Combine like terms: -3 + 24 = 21 1 + 3X + -2x = 21 + 7X + -1X + 5x Combine like terms: 7X + -1X = 6X 1 + 3X + -2x = 21 + 6X + 5x Solving 1 + 3X + -2x = 21 + 6X + 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 1 + 3X + -6X + -2x = 21 + 6X + -6X + 5x Combine like terms: 3X + -6X = -3X 1 + -3X + -2x = 21 + 6X + -6X + 5x Combine like terms: 6X + -6X = 0 1 + -3X + -2x = 21 + 0 + 5x 1 + -3X + -2x = 21 + 5x Add '-1' to each side of the equation. 1 + -3X + -1 + -2x = 21 + -1 + 5x Reorder the terms: 1 + -1 + -3X + -2x = 21 + -1 + 5x Combine like terms: 1 + -1 = 0 0 + -3X + -2x = 21 + -1 + 5x -3X + -2x = 21 + -1 + 5x Combine like terms: 21 + -1 = 20 -3X + -2x = 20 + 5x Add '2x' to each side of the equation. -3X + -2x + 2x = 20 + 5x + 2x Combine like terms: -2x + 2x = 0 -3X + 0 = 20 + 5x + 2x -3X = 20 + 5x + 2x Combine like terms: 5x + 2x = 7x -3X = 20 + 7x Divide each side by '-3'. X = -6.666666667 + -2.333333333x Simplifying X = -6.666666667 + -2.333333333x
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