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Simplifying 23 + 7x = -8 + -5(-8x + 7) Reorder the terms: 23 + 7x = -8 + -5(7 + -8x) 23 + 7x = -8 + (7 * -5 + -8x * -5) 23 + 7x = -8 + (-35 + 40x) Combine like terms: -8 + -35 = -43 23 + 7x = -43 + 40x Solving 23 + 7x = -43 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 23 + 7x + -40x = -43 + 40x + -40x Combine like terms: 7x + -40x = -33x 23 + -33x = -43 + 40x + -40x Combine like terms: 40x + -40x = 0 23 + -33x = -43 + 0 23 + -33x = -43 Add '-23' to each side of the equation. 23 + -23 + -33x = -43 + -23 Combine like terms: 23 + -23 = 0 0 + -33x = -43 + -23 -33x = -43 + -23 Combine like terms: -43 + -23 = -66 -33x = -66 Divide each side by '-33'. x = 2 Simplifying x = 2
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