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Simplifying 2(9 + 3x) = 38 + (8x + -2) (9 * 2 + 3x * 2) = 38 + (8x + -2) (18 + 6x) = 38 + (8x + -2) Reorder the terms: 18 + 6x = 38 + (-2 + 8x) Remove parenthesis around (-2 + 8x) 18 + 6x = 38 + -2 + 8x Combine like terms: 38 + -2 = 36 18 + 6x = 36 + 8x Solving 18 + 6x = 36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + 6x + -8x = 36 + 8x + -8x Combine like terms: 6x + -8x = -2x 18 + -2x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -2x = 36 + 0 18 + -2x = 36 Add '-18' to each side of the equation. 18 + -18 + -2x = 36 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 36 + -18 -2x = 36 + -18 Combine like terms: 36 + -18 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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