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Simplifying 30c + -1(-1x + 6) + (-5x + 4) = -1(5x + 6) + (-8 + 3x) Reorder the terms: 30c + -1(6 + -1x) + (-5x + 4) = -1(5x + 6) + (-8 + 3x) 30c + (6 * -1 + -1x * -1) + (-5x + 4) = -1(5x + 6) + (-8 + 3x) 30c + (-6 + 1x) + (-5x + 4) = -1(5x + 6) + (-8 + 3x) Reorder the terms: 30c + -6 + 1x + (4 + -5x) = -1(5x + 6) + (-8 + 3x) Remove parenthesis around (4 + -5x) 30c + -6 + 1x + 4 + -5x = -1(5x + 6) + (-8 + 3x) Reorder the terms: -6 + 4 + 30c + 1x + -5x = -1(5x + 6) + (-8 + 3x) Combine like terms: -6 + 4 = -2 -2 + 30c + 1x + -5x = -1(5x + 6) + (-8 + 3x) Combine like terms: 1x + -5x = -4x -2 + 30c + -4x = -1(5x + 6) + (-8 + 3x) Reorder the terms: -2 + 30c + -4x = -1(6 + 5x) + (-8 + 3x) -2 + 30c + -4x = (6 * -1 + 5x * -1) + (-8 + 3x) -2 + 30c + -4x = (-6 + -5x) + (-8 + 3x) Remove parenthesis around (-8 + 3x) -2 + 30c + -4x = -6 + -5x + -8 + 3x Reorder the terms: -2 + 30c + -4x = -6 + -8 + -5x + 3x Combine like terms: -6 + -8 = -14 -2 + 30c + -4x = -14 + -5x + 3x Combine like terms: -5x + 3x = -2x -2 + 30c + -4x = -14 + -2x Solving -2 + 30c + -4x = -14 + -2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 30c + 2 + -4x = -14 + 2 + -2x Reorder the terms: -2 + 2 + 30c + -4x = -14 + 2 + -2x Combine like terms: -2 + 2 = 0 0 + 30c + -4x = -14 + 2 + -2x 30c + -4x = -14 + 2 + -2x Combine like terms: -14 + 2 = -12 30c + -4x = -12 + -2x Add '4x' to each side of the equation. 30c + -4x + 4x = -12 + -2x + 4x Combine like terms: -4x + 4x = 0 30c + 0 = -12 + -2x + 4x 30c = -12 + -2x + 4x Combine like terms: -2x + 4x = 2x 30c = -12 + 2x Divide each side by '30'. c = -0.4 + 0.06666666667x Simplifying c = -0.4 + 0.06666666667x
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