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Simplifying 3x + -5 = 8 + -1(1 + -1x) Reorder the terms: -5 + 3x = 8 + -1(1 + -1x) -5 + 3x = 8 + (1 * -1 + -1x * -1) -5 + 3x = 8 + (-1 + 1x) Combine like terms: 8 + -1 = 7 -5 + 3x = 7 + 1x Solving -5 + 3x = 7 + 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. -5 + 3x + -1x = 7 + 1x + -1x Combine like terms: 3x + -1x = 2x -5 + 2x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + 2x = 7 + 0 -5 + 2x = 7 Add '5' to each side of the equation. -5 + 5 + 2x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 7 + 5 2x = 7 + 5 Combine like terms: 7 + 5 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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