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Simplifying 9 + -3(4 + -2x) = 12x + 42 9 + (4 * -3 + -2x * -3) = 12x + 42 9 + (-12 + 6x) = 12x + 42 Combine like terms: 9 + -12 = -3 -3 + 6x = 12x + 42 Reorder the terms: -3 + 6x = 42 + 12x Solving -3 + 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. -3 + 6x + -12x = 42 + 12x + -12x Combine like terms: 6x + -12x = -6x -3 + -6x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -6x = 42 + 0 -3 + -6x = 42 Add '3' to each side of the equation. -3 + 3 + -6x = 42 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = 42 + 3 -6x = 42 + 3 Combine like terms: 42 + 3 = 45 -6x = 45 Divide each side by '-6'. x = -7.5 Simplifying x = -7.5
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