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Simplifying 3(2x + -4) = 42 + -12x Reorder the terms: 3(-4 + 2x) = 42 + -12x (-4 * 3 + 2x * 3) = 42 + -12x (-12 + 6x) = 42 + -12x Solving -12 + 6x = 42 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -12 + 6x + 12x = 42 + -12x + 12x Combine like terms: 6x + 12x = 18x -12 + 18x = 42 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 18x = 42 + 0 -12 + 18x = 42 Add '12' to each side of the equation. -12 + 12 + 18x = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = 42 + 12 18x = 42 + 12 Combine like terms: 42 + 12 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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