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Simplifying X + 2(3x + 4) + -5(6 + -7x) = 8x + 9 Reorder the terms: X + 2(4 + 3x) + -5(6 + -7x) = 8x + 9 X + (4 * 2 + 3x * 2) + -5(6 + -7x) = 8x + 9 X + (8 + 6x) + -5(6 + -7x) = 8x + 9 X + 8 + 6x + (6 * -5 + -7x * -5) = 8x + 9 X + 8 + 6x + (-30 + 35x) = 8x + 9 Reorder the terms: 8 + -30 + X + 6x + 35x = 8x + 9 Combine like terms: 8 + -30 = -22 -22 + X + 6x + 35x = 8x + 9 Combine like terms: 6x + 35x = 41x -22 + X + 41x = 8x + 9 Reorder the terms: -22 + X + 41x = 9 + 8x Solving -22 + X + 41x = 9 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '22' to each side of the equation. -22 + X + 22 + 41x = 9 + 22 + 8x Reorder the terms: -22 + 22 + X + 41x = 9 + 22 + 8x Combine like terms: -22 + 22 = 0 0 + X + 41x = 9 + 22 + 8x X + 41x = 9 + 22 + 8x Combine like terms: 9 + 22 = 31 X + 41x = 31 + 8x Add '-41x' to each side of the equation. X + 41x + -41x = 31 + 8x + -41x Combine like terms: 41x + -41x = 0 X + 0 = 31 + 8x + -41x X = 31 + 8x + -41x Combine like terms: 8x + -41x = -33x X = 31 + -33x Simplifying X = 31 + -33x
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