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Simplifying X + 2X + -400 + X + -200 + 3X = 6X + -340 Reorder the terms: -400 + -200 + X + 2X + X + 3X = 6X + -340 Combine like terms: -400 + -200 = -600 -600 + X + 2X + X + 3X = 6X + -340 Combine like terms: X + 2X = 3X -600 + 3X + X + 3X = 6X + -340 Combine like terms: 3X + X = 4X -600 + 4X + 3X = 6X + -340 Combine like terms: 4X + 3X = 7X -600 + 7X = 6X + -340 Reorder the terms: -600 + 7X = -340 + 6X Solving -600 + 7X = -340 + 6X 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. -600 + 7X + -6X = -340 + 6X + -6X Combine like terms: 7X + -6X = 1X -600 + 1X = -340 + 6X + -6X Combine like terms: 6X + -6X = 0 -600 + 1X = -340 + 0 -600 + 1X = -340 Add '600' to each side of the equation. -600 + 600 + 1X = -340 + 600 Combine like terms: -600 + 600 = 0 0 + 1X = -340 + 600 1X = -340 + 600 Combine like terms: -340 + 600 = 260 1X = 260 Divide each side by '1'. X = 260 Simplifying X = 260
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