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Simplifying 3 + -5x + -1x + -2 = 10 + -4x + -1x + -1 Reorder the terms: 3 + -2 + -5x + -1x = 10 + -4x + -1x + -1 Combine like terms: 3 + -2 = 1 1 + -5x + -1x = 10 + -4x + -1x + -1 Combine like terms: -5x + -1x = -6x 1 + -6x = 10 + -4x + -1x + -1 Reorder the terms: 1 + -6x = 10 + -1 + -4x + -1x Combine like terms: 10 + -1 = 9 1 + -6x = 9 + -4x + -1x Combine like terms: -4x + -1x = -5x 1 + -6x = 9 + -5x Solving 1 + -6x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1 + -6x + 5x = 9 + -5x + 5x Combine like terms: -6x + 5x = -1x 1 + -1x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + -1x = 9 + 0 1 + -1x = 9 Add '-1' to each side of the equation. 1 + -1 + -1x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 9 + -1 -1x = 9 + -1 Combine like terms: 9 + -1 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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