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Simplifying 2(x + 9) = -6x + 2 Reorder the terms: 2(9 + x) = -6x + 2 (9 * 2 + x * 2) = -6x + 2 (18 + 2x) = -6x + 2 Reorder the terms: 18 + 2x = 2 + -6x Solving 18 + 2x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 18 + 2x + 6x = 2 + -6x + 6x Combine like terms: 2x + 6x = 8x 18 + 8x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 18 + 8x = 2 + 0 18 + 8x = 2 Add '-18' to each side of the equation. 18 + -18 + 8x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 2 + -18 8x = 2 + -18 Combine like terms: 2 + -18 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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