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Simplifying 5x + -2 + 8x + -5 = 9 + -5 + 1x Reorder the terms: -2 + -5 + 5x + 8x = 9 + -5 + 1x Combine like terms: -2 + -5 = -7 -7 + 5x + 8x = 9 + -5 + 1x Combine like terms: 5x + 8x = 13x -7 + 13x = 9 + -5 + 1x Combine like terms: 9 + -5 = 4 -7 + 13x = 4 + 1x Solving -7 + 13x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 13x + -1x = 4 + 1x + -1x Combine like terms: 13x + -1x = 12x -7 + 12x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + 12x = 4 + 0 -7 + 12x = 4 Add '7' to each side of the equation. -7 + 7 + 12x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = 4 + 7 12x = 4 + 7 Combine like terms: 4 + 7 = 11 12x = 11 Divide each side by '12'. x = 0.9166666667 Simplifying x = 0.9166666667
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