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