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Simplifying 3x + 2(6x + -4) = 52 Reorder the terms: 3x + 2(-4 + 6x) = 52 3x + (-4 * 2 + 6x * 2) = 52 3x + (-8 + 12x) = 52 Reorder the terms: -8 + 3x + 12x = 52 Combine like terms: 3x + 12x = 15x -8 + 15x = 52 Solving -8 + 15x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 15x = 52 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 52 + 8 15x = 52 + 8 Combine like terms: 52 + 8 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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