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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 = -21 -21 + 6x = 12x + 42 Reorder the terms: -21 + 6x = 42 + 12x Solving -21 + 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. -21 + 6x + -12x = 42 + 12x + -12x Combine like terms: 6x + -12x = -6x -21 + -6x = 42 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + -6x = 42 + 0 -21 + -6x = 42 Add '21' to each side of the equation. -21 + 21 + -6x = 42 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = 42 + 21 -6x = 42 + 21 Combine like terms: 42 + 21 = 63 -6x = 63 Divide each side by '-6'. x = -10.5 Simplifying x = -10.5
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