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Simplifying 406 = -8(8x + -7) + -6x Reorder the terms: 406 = -8(-7 + 8x) + -6x 406 = (-7 * -8 + 8x * -8) + -6x 406 = (56 + -64x) + -6x Combine like terms: -64x + -6x = -70x 406 = 56 + -70x Solving 406 = 56 + -70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70x' to each side of the equation. 406 + 70x = 56 + -70x + 70x Combine like terms: -70x + 70x = 0 406 + 70x = 56 + 0 406 + 70x = 56 Add '-406' to each side of the equation. 406 + -406 + 70x = 56 + -406 Combine like terms: 406 + -406 = 0 0 + 70x = 56 + -406 70x = 56 + -406 Combine like terms: 56 + -406 = -350 70x = -350 Divide each side by '70'. x = -5 Simplifying x = -5
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