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