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Simplifying -2x + -17 + 8x = -43 + 10x + -2 Reorder the terms: -17 + -2x + 8x = -43 + 10x + -2 Combine like terms: -2x + 8x = 6x -17 + 6x = -43 + 10x + -2 Reorder the terms: -17 + 6x = -43 + -2 + 10x Combine like terms: -43 + -2 = -45 -17 + 6x = -45 + 10x Solving -17 + 6x = -45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -17 + 6x + -10x = -45 + 10x + -10x Combine like terms: 6x + -10x = -4x -17 + -4x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 -17 + -4x = -45 + 0 -17 + -4x = -45 Add '17' to each side of the equation. -17 + 17 + -4x = -45 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = -45 + 17 -4x = -45 + 17 Combine like terms: -45 + 17 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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