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Simplifying 5x + -1c = 3(x + 2) + 2 Reorder the terms: -1c + 5x = 3(x + 2) + 2 Reorder the terms: -1c + 5x = 3(2 + x) + 2 -1c + 5x = (2 * 3 + x * 3) + 2 -1c + 5x = (6 + 3x) + 2 Reorder the terms: -1c + 5x = 6 + 2 + 3x Combine like terms: 6 + 2 = 8 -1c + 5x = 8 + 3x Solving -1c + 5x = 8 + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5x' to each side of the equation. -1c + 5x + -5x = 8 + 3x + -5x Combine like terms: 5x + -5x = 0 -1c + 0 = 8 + 3x + -5x -1c = 8 + 3x + -5x Combine like terms: 3x + -5x = -2x -1c = 8 + -2x Divide each side by '-1'. c = -8 + 2x Simplifying c = -8 + 2x
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