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Simplifying 10c + -15x + 5 = -45 + 40 Reorder the terms: 5 + 10c + -15x = -45 + 40 Combine like terms: -45 + 40 = -5 5 + 10c + -15x = -5 Solving 5 + 10c + -15x = -5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 10c + -5 + -15x = -5 + -5 Reorder the terms: 5 + -5 + 10c + -15x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 10c + -15x = -5 + -5 10c + -15x = -5 + -5 Combine like terms: -5 + -5 = -10 10c + -15x = -10 Add '15x' to each side of the equation. 10c + -15x + 15x = -10 + 15x Combine like terms: -15x + 15x = 0 10c + 0 = -10 + 15x 10c = -10 + 15x Divide each side by '10'. c = -1 + 1.5x Simplifying c = -1 + 1.5x
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