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