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Simplifying 2(-1c + -4) + 3 = -7x + 5 + 5x Reorder the terms: 2(-4 + -1c) + 3 = -7x + 5 + 5x (-4 * 2 + -1c * 2) + 3 = -7x + 5 + 5x (-8 + -2c) + 3 = -7x + 5 + 5x Reorder the terms: -8 + 3 + -2c = -7x + 5 + 5x Combine like terms: -8 + 3 = -5 -5 + -2c = -7x + 5 + 5x Reorder the terms: -5 + -2c = 5 + -7x + 5x Combine like terms: -7x + 5x = -2x -5 + -2c = 5 + -2x Solving -5 + -2c = 5 + -2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2c = 5 + 5 + -2x Combine like terms: -5 + 5 = 0 0 + -2c = 5 + 5 + -2x -2c = 5 + 5 + -2x Combine like terms: 5 + 5 = 10 -2c = 10 + -2x Divide each side by '-2'. c = -5 + x Simplifying c = -5 + x
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