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Simplifying 2x + -2 + 5x + 1 = 4c + 2 + 3x + -3 Reorder the terms: -2 + 1 + 2x + 5x = 4c + 2 + 3x + -3 Combine like terms: -2 + 1 = -1 -1 + 2x + 5x = 4c + 2 + 3x + -3 Combine like terms: 2x + 5x = 7x -1 + 7x = 4c + 2 + 3x + -3 Reorder the terms: -1 + 7x = 2 + -3 + 4c + 3x Combine like terms: 2 + -3 = -1 -1 + 7x = -1 + 4c + 3x Add '1' to each side of the equation. -1 + 1 + 7x = -1 + 4c + 1 + 3x Combine like terms: -1 + 1 = 0 0 + 7x = -1 + 4c + 1 + 3x 7x = -1 + 4c + 1 + 3x Reorder the terms: 7x = -1 + 1 + 4c + 3x Combine like terms: -1 + 1 = 0 7x = 0 + 4c + 3x 7x = 4c + 3x Solving 7x = 4c + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7x + -3x = 4c + 3x + -3x Combine like terms: 7x + -3x = 4x 4x = 4c + 3x + -3x Combine like terms: 3x + -3x = 0 4x = 4c + 0 4x = 4c Divide each side by '4'. x = c Simplifying x = c
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