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Simplifying 2(x + 6) + 4(x + 6) = -6 Reorder the terms: 2(6 + x) + 4(x + 6) = -6 (6 * 2 + x * 2) + 4(x + 6) = -6 (12 + 2x) + 4(x + 6) = -6 Reorder the terms: 12 + 2x + 4(6 + x) = -6 12 + 2x + (6 * 4 + x * 4) = -6 12 + 2x + (24 + 4x) = -6 Reorder the terms: 12 + 24 + 2x + 4x = -6 Combine like terms: 12 + 24 = 36 36 + 2x + 4x = -6 Combine like terms: 2x + 4x = 6x 36 + 6x = -6 Solving 36 + 6x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 6x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = -6 + -36 6x = -6 + -36 Combine like terms: -6 + -36 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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