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Simplifying 5x + -7 + 8x + -3 + -1x = 3x + -5 + 8x Reorder the terms: -7 + -3 + 5x + 8x + -1x = 3x + -5 + 8x Combine like terms: -7 + -3 = -10 -10 + 5x + 8x + -1x = 3x + -5 + 8x Combine like terms: 5x + 8x = 13x -10 + 13x + -1x = 3x + -5 + 8x Combine like terms: 13x + -1x = 12x -10 + 12x = 3x + -5 + 8x Reorder the terms: -10 + 12x = -5 + 3x + 8x Combine like terms: 3x + 8x = 11x -10 + 12x = -5 + 11x Solving -10 + 12x = -5 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -10 + 12x + -11x = -5 + 11x + -11x Combine like terms: 12x + -11x = 1x -10 + 1x = -5 + 11x + -11x Combine like terms: 11x + -11x = 0 -10 + 1x = -5 + 0 -10 + 1x = -5 Add '10' to each side of the equation. -10 + 10 + 1x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -5 + 10 1x = -5 + 10 Combine like terms: -5 + 10 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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