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Simplifying 3x + 9 + -6c(6 + 8) = 7(7 + 3) Combine like terms: 6 + 8 = 14 3x + 9 + -6c(14) = 7(7 + 3) Reorder the terms for easier multiplication: 3x + 9 + -6 * 14c = 7(7 + 3) Multiply -6 * 14 3x + 9 + -84c = 7(7 + 3) Reorder the terms: 9 + -84c + 3x = 7(7 + 3) Combine like terms: 7 + 3 = 10 9 + -84c + 3x = 7(10) Multiply 7 * 10 9 + -84c + 3x = 70 Solving 9 + -84c + 3x = 70 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -84c + -9 + 3x = 70 + -9 Reorder the terms: 9 + -9 + -84c + 3x = 70 + -9 Combine like terms: 9 + -9 = 0 0 + -84c + 3x = 70 + -9 -84c + 3x = 70 + -9 Combine like terms: 70 + -9 = 61 -84c + 3x = 61 Add '-3x' to each side of the equation. -84c + 3x + -3x = 61 + -3x Combine like terms: 3x + -3x = 0 -84c + 0 = 61 + -3x -84c = 61 + -3x Divide each side by '-84'. c = -0.7261904762 + 0.03571428571x Simplifying c = -0.7261904762 + 0.03571428571x
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