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Simplifying 2(2 + -1x) = 3(-8 + 2x) + -9 (2 * 2 + -1x * 2) = 3(-8 + 2x) + -9 (4 + -2x) = 3(-8 + 2x) + -9 4 + -2x = (-8 * 3 + 2x * 3) + -9 4 + -2x = (-24 + 6x) + -9 Reorder the terms: 4 + -2x = -24 + -9 + 6x Combine like terms: -24 + -9 = -33 4 + -2x = -33 + 6x Solving 4 + -2x = -33 + 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. 4 + -2x + -6x = -33 + 6x + -6x Combine like terms: -2x + -6x = -8x 4 + -8x = -33 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -8x = -33 + 0 4 + -8x = -33 Add '-4' to each side of the equation. 4 + -4 + -8x = -33 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -33 + -4 -8x = -33 + -4 Combine like terms: -33 + -4 = -37 -8x = -37 Divide each side by '-8'. x = 4.625 Simplifying x = 4.625
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