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Simplifying 3(x + 2) + 2x = 7(x + 1) + 9 Reorder the terms: 3(2 + x) + 2x = 7(x + 1) + 9 (2 * 3 + x * 3) + 2x = 7(x + 1) + 9 (6 + 3x) + 2x = 7(x + 1) + 9 Combine like terms: 3x + 2x = 5x 6 + 5x = 7(x + 1) + 9 Reorder the terms: 6 + 5x = 7(1 + x) + 9 6 + 5x = (1 * 7 + x * 7) + 9 6 + 5x = (7 + 7x) + 9 Reorder the terms: 6 + 5x = 7 + 9 + 7x Combine like terms: 7 + 9 = 16 6 + 5x = 16 + 7x Solving 6 + 5x = 16 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 5x + -7x = 16 + 7x + -7x Combine like terms: 5x + -7x = -2x 6 + -2x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -2x = 16 + 0 6 + -2x = 16 Add '-6' to each side of the equation. 6 + -6 + -2x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 16 + -6 -2x = 16 + -6 Combine like terms: 16 + -6 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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