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Simplifying 434 = -7(8x + -7) + -7 Reorder the terms: 434 = -7(-7 + 8x) + -7 434 = (-7 * -7 + 8x * -7) + -7 434 = (49 + -56x) + -7 Reorder the terms: 434 = 49 + -7 + -56x Combine like terms: 49 + -7 = 42 434 = 42 + -56x Solving 434 = 42 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 434 + 56x = 42 + -56x + 56x Combine like terms: -56x + 56x = 0 434 + 56x = 42 + 0 434 + 56x = 42 Add '-434' to each side of the equation. 434 + -434 + 56x = 42 + -434 Combine like terms: 434 + -434 = 0 0 + 56x = 42 + -434 56x = 42 + -434 Combine like terms: 42 + -434 = -392 56x = -392 Divide each side by '56'. x = -7 Simplifying x = -7
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