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Simplifying 2(c + -7) + 3(x + -1) = 4x + 3 Reorder the terms: 2(-7 + c) + 3(x + -1) = 4x + 3 (-7 * 2 + c * 2) + 3(x + -1) = 4x + 3 (-14 + 2c) + 3(x + -1) = 4x + 3 Reorder the terms: -14 + 2c + 3(-1 + x) = 4x + 3 -14 + 2c + (-1 * 3 + x * 3) = 4x + 3 -14 + 2c + (-3 + 3x) = 4x + 3 Reorder the terms: -14 + -3 + 2c + 3x = 4x + 3 Combine like terms: -14 + -3 = -17 -17 + 2c + 3x = 4x + 3 Reorder the terms: -17 + 2c + 3x = 3 + 4x Solving -17 + 2c + 3x = 3 + 4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 2c + 17 + 3x = 3 + 17 + 4x Reorder the terms: -17 + 17 + 2c + 3x = 3 + 17 + 4x Combine like terms: -17 + 17 = 0 0 + 2c + 3x = 3 + 17 + 4x 2c + 3x = 3 + 17 + 4x Combine like terms: 3 + 17 = 20 2c + 3x = 20 + 4x Add '-3x' to each side of the equation. 2c + 3x + -3x = 20 + 4x + -3x Combine like terms: 3x + -3x = 0 2c + 0 = 20 + 4x + -3x 2c = 20 + 4x + -3x Combine like terms: 4x + -3x = 1x 2c = 20 + 1x Divide each side by '2'. c = 10 + 0.5x Simplifying c = 10 + 0.5x
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