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Simplifying 38 + 7(x + -3) = (x + -1) Reorder the terms: 38 + 7(-3 + x) = (x + -1) 38 + (-3 * 7 + x * 7) = (x + -1) 38 + (-21 + 7x) = (x + -1) Combine like terms: 38 + -21 = 17 17 + 7x = (x + -1) Reorder the terms: 17 + 7x = (-1 + x) Remove parenthesis around (-1 + x) 17 + 7x = -1 + x Solving 17 + 7x = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + 7x + -1x = -1 + x + -1x Combine like terms: 7x + -1x = 6x 17 + 6x = -1 + x + -1x Combine like terms: x + -1x = 0 17 + 6x = -1 + 0 17 + 6x = -1 Add '-17' to each side of the equation. 17 + -17 + 6x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + 6x = -1 + -17 6x = -1 + -17 Combine like terms: -1 + -17 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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