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Simplifying 10x + 4 + -2c = 6c + 9 + 7 Reorder the terms: 4 + -2c + 10x = 6c + 9 + 7 Reorder the terms: 4 + -2c + 10x = 9 + 7 + 6c Combine like terms: 9 + 7 = 16 4 + -2c + 10x = 16 + 6c Solving 4 + -2c + 10x = 16 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 4 + -2c + -6c + 10x = 16 + 6c + -6c Combine like terms: -2c + -6c = -8c 4 + -8c + 10x = 16 + 6c + -6c Combine like terms: 6c + -6c = 0 4 + -8c + 10x = 16 + 0 4 + -8c + 10x = 16 Add '-4' to each side of the equation. 4 + -8c + -4 + 10x = 16 + -4 Reorder the terms: 4 + -4 + -8c + 10x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -8c + 10x = 16 + -4 -8c + 10x = 16 + -4 Combine like terms: 16 + -4 = 12 -8c + 10x = 12 Add '-10x' to each side of the equation. -8c + 10x + -10x = 12 + -10x Combine like terms: 10x + -10x = 0 -8c + 0 = 12 + -10x -8c = 12 + -10x Divide each side by '-8'. c = -1.5 + 1.25x Simplifying c = -1.5 + 1.25x
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