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Simplifying 6x + 6(3x + 7) = -126 Reorder the terms: 6x + 6(7 + 3x) = -126 6x + (7 * 6 + 3x * 6) = -126 6x + (42 + 18x) = -126 Reorder the terms: 42 + 6x + 18x = -126 Combine like terms: 6x + 18x = 24x 42 + 24x = -126 Solving 42 + 24x = -126 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 24x = -126 + -42 Combine like terms: 42 + -42 = 0 0 + 24x = -126 + -42 24x = -126 + -42 Combine like terms: -126 + -42 = -168 24x = -168 Divide each side by '24'. x = -7 Simplifying x = -7
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