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Simplifying 3X + 7 + -1x + -9 = X + 10 Reorder the terms: 7 + -9 + 3X + -1x = X + 10 Combine like terms: 7 + -9 = -2 -2 + 3X + -1x = X + 10 Reorder the terms: -2 + 3X + -1x = 10 + X Solving -2 + 3X + -1x = 10 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. -2 + 3X + -1X + -1x = 10 + X + -1X Combine like terms: 3X + -1X = 2X -2 + 2X + -1x = 10 + X + -1X Combine like terms: X + -1X = 0 -2 + 2X + -1x = 10 + 0 -2 + 2X + -1x = 10 Add '2' to each side of the equation. -2 + 2X + 2 + -1x = 10 + 2 Reorder the terms: -2 + 2 + 2X + -1x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2X + -1x = 10 + 2 2X + -1x = 10 + 2 Combine like terms: 10 + 2 = 12 2X + -1x = 12 Add 'x' to each side of the equation. 2X + -1x + x = 12 + x Combine like terms: -1x + x = 0 2X + 0 = 12 + x 2X = 12 + x Divide each side by '2'. X = 6 + 0.5x Simplifying X = 6 + 0.5x
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