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Simplifying -402 = 6(7x + -11) Reorder the terms: -402 = 6(-11 + 7x) -402 = (-11 * 6 + 7x * 6) -402 = (-66 + 42x) Solving -402 = -66 + 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. -402 + -42x = -66 + 42x + -42x Combine like terms: 42x + -42x = 0 -402 + -42x = -66 + 0 -402 + -42x = -66 Add '402' to each side of the equation. -402 + 402 + -42x = -66 + 402 Combine like terms: -402 + 402 = 0 0 + -42x = -66 + 402 -42x = -66 + 402 Combine like terms: -66 + 402 = 336 -42x = 336 Divide each side by '-42'. x = -8 Simplifying x = -8
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