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Simplifying 4x + 3(x + -2) = 5x + 16 Reorder the terms: 4x + 3(-2 + x) = 5x + 16 4x + (-2 * 3 + x * 3) = 5x + 16 4x + (-6 + 3x) = 5x + 16 Reorder the terms: -6 + 4x + 3x = 5x + 16 Combine like terms: 4x + 3x = 7x -6 + 7x = 5x + 16 Reorder the terms: -6 + 7x = 16 + 5x Solving -6 + 7x = 16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 7x + -5x = 16 + 5x + -5x Combine like terms: 7x + -5x = 2x -6 + 2x = 16 + 5x + -5x Combine like terms: 5x + -5x = 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 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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