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Simplifying 5x + -3c + 7 = 3x + -1 Reorder the terms: 7 + -3c + 5x = 3x + -1 Reorder the terms: 7 + -3c + 5x = -1 + 3x Solving 7 + -3c + 5x = -1 + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -3c + -7 + 5x = -1 + -7 + 3x Reorder the terms: 7 + -7 + -3c + 5x = -1 + -7 + 3x Combine like terms: 7 + -7 = 0 0 + -3c + 5x = -1 + -7 + 3x -3c + 5x = -1 + -7 + 3x Combine like terms: -1 + -7 = -8 -3c + 5x = -8 + 3x Add '-5x' to each side of the equation. -3c + 5x + -5x = -8 + 3x + -5x Combine like terms: 5x + -5x = 0 -3c + 0 = -8 + 3x + -5x -3c = -8 + 3x + -5x Combine like terms: 3x + -5x = -2x -3c = -8 + -2x Divide each side by '-3'. c = 2.666666667 + 0.6666666667x Simplifying c = 2.666666667 + 0.6666666667x
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