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Simplifying -8x + 43 = -5(x + -8) Reorder the terms: 43 + -8x = -5(x + -8) Reorder the terms: 43 + -8x = -5(-8 + x) 43 + -8x = (-8 * -5 + x * -5) 43 + -8x = (40 + -5x) Solving 43 + -8x = 40 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 43 + -8x + 5x = 40 + -5x + 5x Combine like terms: -8x + 5x = -3x 43 + -3x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 43 + -3x = 40 + 0 43 + -3x = 40 Add '-43' to each side of the equation. 43 + -43 + -3x = 40 + -43 Combine like terms: 43 + -43 = 0 0 + -3x = 40 + -43 -3x = 40 + -43 Combine like terms: 40 + -43 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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