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Simplifying 2x + -3(1 + -1c) + 7 = -5x 2x + (1 * -3 + -1c * -3) + 7 = -5x 2x + (-3 + 3c) + 7 = -5x Reorder the terms: -3 + 7 + 3c + 2x = -5x Combine like terms: -3 + 7 = 4 4 + 3c + 2x = -5x Solving 4 + 3c + 2x = -5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3c + -4 + 2x = -4 + -5x Reorder the terms: 4 + -4 + 3c + 2x = -4 + -5x Combine like terms: 4 + -4 = 0 0 + 3c + 2x = -4 + -5x 3c + 2x = -4 + -5x Add '-2x' to each side of the equation. 3c + 2x + -2x = -4 + -5x + -2x Combine like terms: 2x + -2x = 0 3c + 0 = -4 + -5x + -2x 3c = -4 + -5x + -2x Combine like terms: -5x + -2x = -7x 3c = -4 + -7x Divide each side by '3'. c = -1.333333333 + -2.333333333x Simplifying c = -1.333333333 + -2.333333333x
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