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Simplifying 6x + 6 = -2(x + 9) Reorder the terms: 6 + 6x = -2(x + 9) Reorder the terms: 6 + 6x = -2(9 + x) 6 + 6x = (9 * -2 + x * -2) 6 + 6x = (-18 + -2x) Solving 6 + 6x = -18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 6x + 2x = -18 + -2x + 2x Combine like terms: 6x + 2x = 8x 6 + 8x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 8x = -18 + 0 6 + 8x = -18 Add '-6' to each side of the equation. 6 + -6 + 8x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = -18 + -6 8x = -18 + -6 Combine like terms: -18 + -6 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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