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Simplifying 2(9 + -1x) = 3(-9 + 2x) + -9 (9 * 2 + -1x * 2) = 3(-9 + 2x) + -9 (18 + -2x) = 3(-9 + 2x) + -9 18 + -2x = (-9 * 3 + 2x * 3) + -9 18 + -2x = (-27 + 6x) + -9 Reorder the terms: 18 + -2x = -27 + -9 + 6x Combine like terms: -27 + -9 = -36 18 + -2x = -36 + 6x Solving 18 + -2x = -36 + 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 = -36 + 6x + -6x Combine like terms: -2x + -6x = -8x 18 + -8x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -8x = -36 + 0 18 + -8x = -36 Add '-18' to each side of the equation. 18 + -18 + -8x = -36 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -36 + -18 -8x = -36 + -18 Combine like terms: -36 + -18 = -54 -8x = -54 Divide each side by '-8'. x = 6.75 Simplifying x = 6.75
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