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Simplifying 7(x + 3) + 4 = 2x + 100 Reorder the terms: 7(3 + x) + 4 = 2x + 100 (3 * 7 + x * 7) + 4 = 2x + 100 (21 + 7x) + 4 = 2x + 100 Reorder the terms: 21 + 4 + 7x = 2x + 100 Combine like terms: 21 + 4 = 25 25 + 7x = 2x + 100 Reorder the terms: 25 + 7x = 100 + 2x Solving 25 + 7x = 100 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 25 + 7x + -2x = 100 + 2x + -2x Combine like terms: 7x + -2x = 5x 25 + 5x = 100 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + 5x = 100 + 0 25 + 5x = 100 Add '-25' to each side of the equation. 25 + -25 + 5x = 100 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = 100 + -25 5x = 100 + -25 Combine like terms: 100 + -25 = 75 5x = 75 Divide each side by '5'. x = 15 Simplifying x = 15
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