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Simplifying 3(2x + 4) + 2(4x + -3) = 16 Reorder the terms: 3(4 + 2x) + 2(4x + -3) = 16 (4 * 3 + 2x * 3) + 2(4x + -3) = 16 (12 + 6x) + 2(4x + -3) = 16 Reorder the terms: 12 + 6x + 2(-3 + 4x) = 16 12 + 6x + (-3 * 2 + 4x * 2) = 16 12 + 6x + (-6 + 8x) = 16 Reorder the terms: 12 + -6 + 6x + 8x = 16 Combine like terms: 12 + -6 = 6 6 + 6x + 8x = 16 Combine like terms: 6x + 8x = 14x 6 + 14x = 16 Solving 6 + 14x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 14x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 16 + -6 14x = 16 + -6 Combine like terms: 16 + -6 = 10 14x = 10 Divide each side by '14'. x = 0.7142857143 Simplifying x = 0.7142857143
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