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Simplifying 4(c + -2) + 3x = 2x + 57 Reorder the terms: 4(-2 + c) + 3x = 2x + 57 (-2 * 4 + c * 4) + 3x = 2x + 57 (-8 + 4c) + 3x = 2x + 57 Reorder the terms: -8 + 4c + 3x = 57 + 2x Solving -8 + 4c + 3x = 57 + 2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4c + 8 + 3x = 57 + 8 + 2x Reorder the terms: -8 + 8 + 4c + 3x = 57 + 8 + 2x Combine like terms: -8 + 8 = 0 0 + 4c + 3x = 57 + 8 + 2x 4c + 3x = 57 + 8 + 2x Combine like terms: 57 + 8 = 65 4c + 3x = 65 + 2x Add '-3x' to each side of the equation. 4c + 3x + -3x = 65 + 2x + -3x Combine like terms: 3x + -3x = 0 4c + 0 = 65 + 2x + -3x 4c = 65 + 2x + -3x Combine like terms: 2x + -3x = -1x 4c = 65 + -1x Divide each side by '4'. c = 16.25 + -0.25x Simplifying c = 16.25 + -0.25x
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