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Simplifying 6x + -3(6 + -5X) + X = 10 + -4(2 + -1X) 6x + (6 * -3 + -5X * -3) + X = 10 + -4(2 + -1X) 6x + (-18 + 15X) + X = 10 + -4(2 + -1X) Reorder the terms: -18 + 15X + X + 6x = 10 + -4(2 + -1X) Combine like terms: 15X + X = 16X -18 + 16X + 6x = 10 + -4(2 + -1X) -18 + 16X + 6x = 10 + (2 * -4 + -1X * -4) -18 + 16X + 6x = 10 + (-8 + 4X) Combine like terms: 10 + -8 = 2 -18 + 16X + 6x = 2 + 4X Solving -18 + 16X + 6x = 2 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. -18 + 16X + -4X + 6x = 2 + 4X + -4X Combine like terms: 16X + -4X = 12X -18 + 12X + 6x = 2 + 4X + -4X Combine like terms: 4X + -4X = 0 -18 + 12X + 6x = 2 + 0 -18 + 12X + 6x = 2 Add '18' to each side of the equation. -18 + 12X + 18 + 6x = 2 + 18 Reorder the terms: -18 + 18 + 12X + 6x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 12X + 6x = 2 + 18 12X + 6x = 2 + 18 Combine like terms: 2 + 18 = 20 12X + 6x = 20 Add '-6x' to each side of the equation. 12X + 6x + -6x = 20 + -6x Combine like terms: 6x + -6x = 0 12X + 0 = 20 + -6x 12X = 20 + -6x Divide each side by '12'. X = 1.666666667 + -0.5x Simplifying X = 1.666666667 + -0.5x
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