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Simplifying -238 = 7(6x + 8) Reorder the terms: -238 = 7(8 + 6x) -238 = (8 * 7 + 6x * 7) -238 = (56 + 42x) Solving -238 = 56 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -238 + -42x = 56 + 42x + -42x Combine like terms: 42x + -42x = 0 -238 + -42x = 56 + 0 -238 + -42x = 56 Add '238' to each side of the equation. -238 + 238 + -42x = 56 + 238 Combine like terms: -238 + 238 = 0 0 + -42x = 56 + 238 -42x = 56 + 238 Combine like terms: 56 + 238 = 294 -42x = 294 Divide each side by '-42'. x = -7 Simplifying x = -7
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