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Simplifying 5x + -8x + -1 = 3x + -2 + 7 Reorder the terms: -1 + 5x + -8x = 3x + -2 + 7 Combine like terms: 5x + -8x = -3x -1 + -3x = 3x + -2 + 7 Reorder the terms: -1 + -3x = -2 + 7 + 3x Combine like terms: -2 + 7 = 5 -1 + -3x = 5 + 3x Solving -1 + -3x = 5 + 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. -1 + -3x + -3x = 5 + 3x + -3x Combine like terms: -3x + -3x = -6x -1 + -6x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -6x = 5 + 0 -1 + -6x = 5 Add '1' to each side of the equation. -1 + 1 + -6x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 5 + 1 -6x = 5 + 1 Combine like terms: 5 + 1 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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