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Simplifying 3(1 + x) + 4(x + 1) + 2 = 19 (1 * 3 + x * 3) + 4(x + 1) + 2 = 19 (3 + 3x) + 4(x + 1) + 2 = 19 Reorder the terms: 3 + 3x + 4(1 + x) + 2 = 19 3 + 3x + (1 * 4 + x * 4) + 2 = 19 3 + 3x + (4 + 4x) + 2 = 19 Reorder the terms: 3 + 4 + 2 + 3x + 4x = 19 Combine like terms: 3 + 4 = 7 7 + 2 + 3x + 4x = 19 Combine like terms: 7 + 2 = 9 9 + 3x + 4x = 19 Combine like terms: 3x + 4x = 7x 9 + 7x = 19 Solving 9 + 7x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7x = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 19 + -9 7x = 19 + -9 Combine like terms: 19 + -9 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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