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Simplifying 38 + 7(x + -3) = 9(x + -1) Reorder the terms: 38 + 7(-3 + x) = 9(x + -1) 38 + (-3 * 7 + x * 7) = 9(x + -1) 38 + (-21 + 7x) = 9(x + -1) Combine like terms: 38 + -21 = 17 17 + 7x = 9(x + -1) Reorder the terms: 17 + 7x = 9(-1 + x) 17 + 7x = (-1 * 9 + x * 9) 17 + 7x = (-9 + 9x) Solving 17 + 7x = -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. 17 + 7x + -9x = -9 + 9x + -9x Combine like terms: 7x + -9x = -2x 17 + -2x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + -2x = -9 + 0 17 + -2x = -9 Add '-17' to each side of the equation. 17 + -17 + -2x = -9 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -9 + -17 -2x = -9 + -17 Combine like terms: -9 + -17 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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