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Simplifying 16x + -3(4x + 5) = 2x + 9 Reorder the terms: 16x + -3(5 + 4x) = 2x + 9 16x + (5 * -3 + 4x * -3) = 2x + 9 16x + (-15 + -12x) = 2x + 9 Reorder the terms: -15 + 16x + -12x = 2x + 9 Combine like terms: 16x + -12x = 4x -15 + 4x = 2x + 9 Reorder the terms: -15 + 4x = 9 + 2x Solving -15 + 4x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 4x + -2x = 9 + 2x + -2x Combine like terms: 4x + -2x = 2x -15 + 2x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 2x = 9 + 0 -15 + 2x = 9 Add '15' to each side of the equation. -15 + 15 + 2x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 9 + 15 2x = 9 + 15 Combine like terms: 9 + 15 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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