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Simplifying 3x + 2(3x + 1) = 3x + -4 Reorder the terms: 3x + 2(1 + 3x) = 3x + -4 3x + (1 * 2 + 3x * 2) = 3x + -4 3x + (2 + 6x) = 3x + -4 Reorder the terms: 2 + 3x + 6x = 3x + -4 Combine like terms: 3x + 6x = 9x 2 + 9x = 3x + -4 Reorder the terms: 2 + 9x = -4 + 3x Solving 2 + 9x = -4 + 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. 2 + 9x + -3x = -4 + 3x + -3x Combine like terms: 9x + -3x = 6x 2 + 6x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 6x = -4 + 0 2 + 6x = -4 Add '-2' to each side of the equation. 2 + -2 + 6x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = -4 + -2 6x = -4 + -2 Combine like terms: -4 + -2 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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