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