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Simplifying -43 + -7x = 8x + 17 Reorder the terms: -43 + -7x = 17 + 8x Solving -43 + -7x = 17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -43 + -7x + -8x = 17 + 8x + -8x Combine like terms: -7x + -8x = -15x -43 + -15x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -43 + -15x = 17 + 0 -43 + -15x = 17 Add '43' to each side of the equation. -43 + 43 + -15x = 17 + 43 Combine like terms: -43 + 43 = 0 0 + -15x = 17 + 43 -15x = 17 + 43 Combine like terms: 17 + 43 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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