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Simplifying -9(x + -4) = -3x + 42 Reorder the terms: -9(-4 + x) = -3x + 42 (-4 * -9 + x * -9) = -3x + 42 (36 + -9x) = -3x + 42 Reorder the terms: 36 + -9x = 42 + -3x Solving 36 + -9x = 42 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 36 + -9x + 3x = 42 + -3x + 3x Combine like terms: -9x + 3x = -6x 36 + -6x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 36 + -6x = 42 + 0 36 + -6x = 42 Add '-36' to each side of the equation. 36 + -36 + -6x = 42 + -36 Combine like terms: 36 + -36 = 0 0 + -6x = 42 + -36 -6x = 42 + -36 Combine like terms: 42 + -36 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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