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Simplifying 9x + 42 = -3(x + 2) Reorder the terms: 42 + 9x = -3(x + 2) Reorder the terms: 42 + 9x = -3(2 + x) 42 + 9x = (2 * -3 + x * -3) 42 + 9x = (-6 + -3x) Solving 42 + 9x = -6 + -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. 42 + 9x + 3x = -6 + -3x + 3x Combine like terms: 9x + 3x = 12x 42 + 12x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 42 + 12x = -6 + 0 42 + 12x = -6 Add '-42' to each side of the equation. 42 + -42 + 12x = -6 + -42 Combine like terms: 42 + -42 = 0 0 + 12x = -6 + -42 12x = -6 + -42 Combine like terms: -6 + -42 = -48 12x = -48 Divide each side by '12'. x = -4 Simplifying x = -4
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