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Simplifying 6(x + 1) = -3x + -39 Reorder the terms: 6(1 + x) = -3x + -39 (1 * 6 + x * 6) = -3x + -39 (6 + 6x) = -3x + -39 Reorder the terms: 6 + 6x = -39 + -3x Solving 6 + 6x = -39 + -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. 6 + 6x + 3x = -39 + -3x + 3x Combine like terms: 6x + 3x = 9x 6 + 9x = -39 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 9x = -39 + 0 6 + 9x = -39 Add '-6' to each side of the equation. 6 + -6 + 9x = -39 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = -39 + -6 9x = -39 + -6 Combine like terms: -39 + -6 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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