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Simplifying 2[9 + -3(2x + -4)] = 12x + 42 Reorder the terms: 2[9 + -3(-4 + 2x)] = 12x + 42 2[9 + (-4 * -3 + 2x * -3)] = 12x + 42 2[9 + (12 + -6x)] = 12x + 42 Combine like terms: 9 + 12 = 21 2[21 + -6x] = 12x + 42 [21 * 2 + -6x * 2] = 12x + 42 [42 + -12x] = 12x + 42 Reorder the terms: 42 + -12x = 42 + 12x Add '-42' to each side of the equation. 42 + -42 + -12x = 42 + -42 + 12x Combine like terms: 42 + -42 = 0 0 + -12x = 42 + -42 + 12x -12x = 42 + -42 + 12x Combine like terms: 42 + -42 = 0 -12x = 0 + 12x -12x = 12x Solving -12x = 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. -12x + -12x = 12x + -12x Combine like terms: -12x + -12x = -24x -24x = 12x + -12x Combine like terms: 12x + -12x = 0 -24x = 0 Divide each side by '-24'. x = 0 Simplifying x = 0
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