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Simplifying 2(4x + 3) + 3(x + 2) = 9x + 16 Reorder the terms: 2(3 + 4x) + 3(x + 2) = 9x + 16 (3 * 2 + 4x * 2) + 3(x + 2) = 9x + 16 (6 + 8x) + 3(x + 2) = 9x + 16 Reorder the terms: 6 + 8x + 3(2 + x) = 9x + 16 6 + 8x + (2 * 3 + x * 3) = 9x + 16 6 + 8x + (6 + 3x) = 9x + 16 Reorder the terms: 6 + 6 + 8x + 3x = 9x + 16 Combine like terms: 6 + 6 = 12 12 + 8x + 3x = 9x + 16 Combine like terms: 8x + 3x = 11x 12 + 11x = 9x + 16 Reorder the terms: 12 + 11x = 16 + 9x Solving 12 + 11x = 16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 11x + -9x = 16 + 9x + -9x Combine like terms: 11x + -9x = 2x 12 + 2x = 16 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 2x = 16 + 0 12 + 2x = 16 Add '-12' to each side of the equation. 12 + -12 + 2x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 16 + -12 2x = 16 + -12 Combine like terms: 16 + -12 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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