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Simplifying -4x + -5(x + -7) = -46 Reorder the terms: -4x + -5(-7 + x) = -46 -4x + (-7 * -5 + x * -5) = -46 -4x + (35 + -5x) = -46 Reorder the terms: 35 + -4x + -5x = -46 Combine like terms: -4x + -5x = -9x 35 + -9x = -46 Solving 35 + -9x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -9x = -46 + -35 Combine like terms: 35 + -35 = 0 0 + -9x = -46 + -35 -9x = -46 + -35 Combine like terms: -46 + -35 = -81 -9x = -81 Divide each side by '-9'. x = 9 Simplifying x = 9
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