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Simplifying 38 + (x + -3) = 9(x + -1) Reorder the terms: 38 + (-3 + x) = 9(x + -1) Remove parenthesis around (-3 + x) 38 + -3 + x = 9(x + -1) Combine like terms: 38 + -3 = 35 35 + x = 9(x + -1) Reorder the terms: 35 + x = 9(-1 + x) 35 + x = (-1 * 9 + x * 9) 35 + x = (-9 + 9x) Solving 35 + x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 35 + x + -9x = -9 + 9x + -9x Combine like terms: x + -9x = -8x 35 + -8x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + -8x = -9 + 0 35 + -8x = -9 Add '-35' to each side of the equation. 35 + -35 + -8x = -9 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = -9 + -35 -8x = -9 + -35 Combine like terms: -9 + -35 = -44 -8x = -44 Divide each side by '-8'. x = 5.5 Simplifying x = 5.5
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