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Simplifying -8x + 43 = -3(x + -6) Reorder the terms: 43 + -8x = -3(x + -6) Reorder the terms: 43 + -8x = -3(-6 + x) 43 + -8x = (-6 * -3 + x * -3) 43 + -8x = (18 + -3x) Solving 43 + -8x = 18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 43 + -8x + 3x = 18 + -3x + 3x Combine like terms: -8x + 3x = -5x 43 + -5x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 43 + -5x = 18 + 0 43 + -5x = 18 Add '-43' to each side of the equation. 43 + -43 + -5x = 18 + -43 Combine like terms: 43 + -43 = 0 0 + -5x = 18 + -43 -5x = 18 + -43 Combine like terms: 18 + -43 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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