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Simplifying 100 = 5x + 7(x + 4) Reorder the terms: 100 = 5x + 7(4 + x) 100 = 5x + (4 * 7 + x * 7) 100 = 5x + (28 + 7x) Reorder the terms: 100 = 28 + 5x + 7x Combine like terms: 5x + 7x = 12x 100 = 28 + 12x Solving 100 = 28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 100 + -12x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 100 + -12x = 28 + 0 100 + -12x = 28 Add '-100' to each side of the equation. 100 + -100 + -12x = 28 + -100 Combine like terms: 100 + -100 = 0 0 + -12x = 28 + -100 -12x = 28 + -100 Combine like terms: 28 + -100 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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