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Simplifying 12(4x + -7) = 16 + 3x Reorder the terms: 12(-7 + 4x) = 16 + 3x (-7 * 12 + 4x * 12) = 16 + 3x (-84 + 48x) = 16 + 3x Solving -84 + 48x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -84 + 48x + -3x = 16 + 3x + -3x Combine like terms: 48x + -3x = 45x -84 + 45x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 -84 + 45x = 16 + 0 -84 + 45x = 16 Add '84' to each side of the equation. -84 + 84 + 45x = 16 + 84 Combine like terms: -84 + 84 = 0 0 + 45x = 16 + 84 45x = 16 + 84 Combine like terms: 16 + 84 = 100 45x = 100 Divide each side by '45'. x = 2.222222222 Simplifying x = 2.222222222
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