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Simplifying 7(x + 4) = 112 + -5x Reorder the terms: 7(4 + x) = 112 + -5x (4 * 7 + x * 7) = 112 + -5x (28 + 7x) = 112 + -5x Solving 28 + 7x = 112 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 28 + 7x + 5x = 112 + -5x + 5x Combine like terms: 7x + 5x = 12x 28 + 12x = 112 + -5x + 5x Combine like terms: -5x + 5x = 0 28 + 12x = 112 + 0 28 + 12x = 112 Add '-28' to each side of the equation. 28 + -28 + 12x = 112 + -28 Combine like terms: 28 + -28 = 0 0 + 12x = 112 + -28 12x = 112 + -28 Combine like terms: 112 + -28 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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