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Simplifying 3x + 2(3x + -2) = 16 + 2(x + 4) Reorder the terms: 3x + 2(-2 + 3x) = 16 + 2(x + 4) 3x + (-2 * 2 + 3x * 2) = 16 + 2(x + 4) 3x + (-4 + 6x) = 16 + 2(x + 4) Reorder the terms: -4 + 3x + 6x = 16 + 2(x + 4) Combine like terms: 3x + 6x = 9x -4 + 9x = 16 + 2(x + 4) Reorder the terms: -4 + 9x = 16 + 2(4 + x) -4 + 9x = 16 + (4 * 2 + x * 2) -4 + 9x = 16 + (8 + 2x) Combine like terms: 16 + 8 = 24 -4 + 9x = 24 + 2x Solving -4 + 9x = 24 + 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. -4 + 9x + -2x = 24 + 2x + -2x Combine like terms: 9x + -2x = 7x -4 + 7x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 7x = 24 + 0 -4 + 7x = 24 Add '4' to each side of the equation. -4 + 4 + 7x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 24 + 4 7x = 24 + 4 Combine like terms: 24 + 4 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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