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Simplifying x + 4 + -6cx = 6 + -5x + -2 Reorder the terms: 4 + -6cx + x = 6 + -5x + -2 Reorder the terms: 4 + -6cx + x = 6 + -2 + -5x Combine like terms: 6 + -2 = 4 4 + -6cx + x = 4 + -5x Add '-4' to each side of the equation. 4 + -6cx + -4 + x = 4 + -4 + -5x Reorder the terms: 4 + -4 + -6cx + x = 4 + -4 + -5x Combine like terms: 4 + -4 = 0 0 + -6cx + x = 4 + -4 + -5x -6cx + x = 4 + -4 + -5x Combine like terms: 4 + -4 = 0 -6cx + x = 0 + -5x -6cx + x = -5x Solving -6cx + x = -5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. -6cx + x + -1x = -5x + -1x Combine like terms: x + -1x = 0 -6cx + 0 = -5x + -1x -6cx = -5x + -1x Combine like terms: -5x + -1x = -6x -6cx = -6x Divide each side by '-6x'. c = 1 Simplifying c = 1
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