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Simplifying 4c + 3(x + -2) = 8x + 5 Reorder the terms: 4c + 3(-2 + x) = 8x + 5 4c + (-2 * 3 + x * 3) = 8x + 5 4c + (-6 + 3x) = 8x + 5 Reorder the terms: -6 + 4c + 3x = 8x + 5 Reorder the terms: -6 + 4c + 3x = 5 + 8x Solving -6 + 4c + 3x = 5 + 8x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 4c + 6 + 3x = 5 + 6 + 8x Reorder the terms: -6 + 6 + 4c + 3x = 5 + 6 + 8x Combine like terms: -6 + 6 = 0 0 + 4c + 3x = 5 + 6 + 8x 4c + 3x = 5 + 6 + 8x Combine like terms: 5 + 6 = 11 4c + 3x = 11 + 8x Add '-3x' to each side of the equation. 4c + 3x + -3x = 11 + 8x + -3x Combine like terms: 3x + -3x = 0 4c + 0 = 11 + 8x + -3x 4c = 11 + 8x + -3x Combine like terms: 8x + -3x = 5x 4c = 11 + 5x Divide each side by '4'. c = 2.75 + 1.25x Simplifying c = 2.75 + 1.25x
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