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Simplifying -6 + (3 + -1x) = 4 + -1(2x + 1) Remove parenthesis around (3 + -1x) -6 + 3 + -1x = 4 + -1(2x + 1) Combine like terms: -6 + 3 = -3 -3 + -1x = 4 + -1(2x + 1) Reorder the terms: -3 + -1x = 4 + -1(1 + 2x) -3 + -1x = 4 + (1 * -1 + 2x * -1) -3 + -1x = 4 + (-1 + -2x) Combine like terms: 4 + -1 = 3 -3 + -1x = 3 + -2x Solving -3 + -1x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + -1x + 2x = 3 + -2x + 2x Combine like terms: -1x + 2x = 1x -3 + 1x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 1x = 3 + 0 -3 + 1x = 3 Add '3' to each side of the equation. -3 + 3 + 1x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 3 + 3 1x = 3 + 3 Combine like terms: 3 + 3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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