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Simplifying 3x + 6(2x + -8) = 42 Reorder the terms: 3x + 6(-8 + 2x) = 42 3x + (-8 * 6 + 2x * 6) = 42 3x + (-48 + 12x) = 42 Reorder the terms: -48 + 3x + 12x = 42 Combine like terms: 3x + 12x = 15x -48 + 15x = 42 Solving -48 + 15x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 15x = 42 + 48 Combine like terms: -48 + 48 = 0 0 + 15x = 42 + 48 15x = 42 + 48 Combine like terms: 42 + 48 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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