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Simplifying -5(-3c + 4) + 3x + 3 = 19 Reorder the terms: -5(4 + -3c) + 3x + 3 = 19 (4 * -5 + -3c * -5) + 3x + 3 = 19 (-20 + 15c) + 3x + 3 = 19 Reorder the terms: -20 + 3 + 15c + 3x = 19 Combine like terms: -20 + 3 = -17 -17 + 15c + 3x = 19 Solving -17 + 15c + 3x = 19 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 + 15c + 17 + 3x = 19 + 17 Reorder the terms: -17 + 17 + 15c + 3x = 19 + 17 Combine like terms: -17 + 17 = 0 0 + 15c + 3x = 19 + 17 15c + 3x = 19 + 17 Combine like terms: 19 + 17 = 36 15c + 3x = 36 Add '-3x' to each side of the equation. 15c + 3x + -3x = 36 + -3x Combine like terms: 3x + -3x = 0 15c + 0 = 36 + -3x 15c = 36 + -3x Divide each side by '15'. c = 2.4 + -0.2x Simplifying c = 2.4 + -0.2x
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