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Simplifying 4(2 + -9x) = 7(x + -5) (2 * 4 + -9x * 4) = 7(x + -5) (8 + -36x) = 7(x + -5) Reorder the terms: 8 + -36x = 7(-5 + x) 8 + -36x = (-5 * 7 + x * 7) 8 + -36x = (-35 + 7x) Solving 8 + -36x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + -36x + -7x = -35 + 7x + -7x Combine like terms: -36x + -7x = -43x 8 + -43x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -43x = -35 + 0 8 + -43x = -35 Add '-8' to each side of the equation. 8 + -8 + -43x = -35 + -8 Combine like terms: 8 + -8 = 0 0 + -43x = -35 + -8 -43x = -35 + -8 Combine like terms: -35 + -8 = -43 -43x = -43 Divide each side by '-43'. x = 1 Simplifying x = 1
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