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Simplifying 5x + 48 + 7xc = 12(x + 4) Reorder the terms: 48 + 7cx + 5x = 12(x + 4) Reorder the terms: 48 + 7cx + 5x = 12(4 + x) 48 + 7cx + 5x = (4 * 12 + x * 12) 48 + 7cx + 5x = (48 + 12x) Add '-48' to each side of the equation. 48 + 7cx + -48 + 5x = 48 + -48 + 12x Reorder the terms: 48 + -48 + 7cx + 5x = 48 + -48 + 12x Combine like terms: 48 + -48 = 0 0 + 7cx + 5x = 48 + -48 + 12x 7cx + 5x = 48 + -48 + 12x Combine like terms: 48 + -48 = 0 7cx + 5x = 0 + 12x 7cx + 5x = 12x Solving 7cx + 5x = 12x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5x' to each side of the equation. 7cx + 5x + -5x = 12x + -5x Combine like terms: 5x + -5x = 0 7cx + 0 = 12x + -5x 7cx = 12x + -5x Combine like terms: 12x + -5x = 7x 7cx = 7x Divide each side by '7x'. c = 1 Simplifying c = 1
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