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Simplifying 5(c + 7) + -8x + 12 = 0 Reorder the terms: 5(7 + c) + -8x + 12 = 0 (7 * 5 + c * 5) + -8x + 12 = 0 (35 + 5c) + -8x + 12 = 0 Reorder the terms: 35 + 12 + 5c + -8x = 0 Combine like terms: 35 + 12 = 47 47 + 5c + -8x = 0 Solving 47 + 5c + -8x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + 5c + -47 + -8x = 0 + -47 Reorder the terms: 47 + -47 + 5c + -8x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 5c + -8x = 0 + -47 5c + -8x = 0 + -47 Combine like terms: 0 + -47 = -47 5c + -8x = -47 Add '8x' to each side of the equation. 5c + -8x + 8x = -47 + 8x Combine like terms: -8x + 8x = 0 5c + 0 = -47 + 8x 5c = -47 + 8x Divide each side by '5'. c = -9.4 + 1.6x Simplifying c = -9.4 + 1.6x
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