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Simplifying 2(3x + 9) = -2x + 6 Reorder the terms: 2(9 + 3x) = -2x + 6 (9 * 2 + 3x * 2) = -2x + 6 (18 + 6x) = -2x + 6 Reorder the terms: 18 + 6x = 6 + -2x Solving 18 + 6x = 6 + -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. 18 + 6x + 2x = 6 + -2x + 2x Combine like terms: 6x + 2x = 8x 18 + 8x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + 8x = 6 + 0 18 + 8x = 6 Add '-18' to each side of the equation. 18 + -18 + 8x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 6 + -18 8x = 6 + -18 Combine like terms: 6 + -18 = -12 8x = -12 Divide each side by '8'. x = -1.5 Simplifying x = -1.5
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