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Simplifying 288 = -6(1 + -7x) 288 = (1 * -6 + -7x * -6) 288 = (-6 + 42x) Solving 288 = -6 + 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. 288 + -42x = -6 + 42x + -42x Combine like terms: 42x + -42x = 0 288 + -42x = -6 + 0 288 + -42x = -6 Add '-288' to each side of the equation. 288 + -288 + -42x = -6 + -288 Combine like terms: 288 + -288 = 0 0 + -42x = -6 + -288 -42x = -6 + -288 Combine like terms: -6 + -288 = -294 -42x = -294 Divide each side by '-42'. x = 7 Simplifying x = 7
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