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Simplifying 4100 = (3x + 100) + (4y + -50) + (6z) Reorder the terms: 4100 = (100 + 3x) + (4y + -50) + (6z) Remove parenthesis around (100 + 3x) 4100 = 100 + 3x + (4y + -50) + (6z) Reorder the terms: 4100 = 100 + 3x + (-50 + 4y) + (6z) Remove parenthesis around (-50 + 4y) 4100 = 100 + 3x + -50 + 4y + (6z) Reorder the terms: 4100 = 100 + -50 + 3x + 4y + (6z) Combine like terms: 100 + -50 = 50 4100 = 50 + 3x + 4y + (6z) Solving 4100 = 50 + 3x + 4y + (6z) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4100 + -3x = 50 + 3x + 4y + -3x + (6z) Reorder the terms: 4100 + -3x = 50 + 3x + -3x + 4y + (6z) Combine like terms: 3x + -3x = 0 4100 + -3x = 50 + 0 + 4y + (6z) 4100 + -3x = 50 + 4y + (6z) Add '-4100' to each side of the equation. 4100 + -4100 + -3x = 50 + 4y + -4100 + (6z) Combine like terms: 4100 + -4100 = 0 0 + -3x = 50 + 4y + -4100 + (6z) -3x = 50 + 4y + -4100 + (6z) Reorder the terms: -3x = 50 + -4100 + 4y + (6z) Combine like terms: 50 + -4100 = -4050 -3x = -4050 + 4y + (6z) Divide each side by '-3'. x = 1350 + -1.333333333y + (-2z) Simplifying x = 1350 + -1.333333333y + (-2z)
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