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Simplifying x + -3(2 + -1x) = 4x + -1(x + -1) x + (2 * -3 + -1x * -3) = 4x + -1(x + -1) x + (-6 + 3x) = 4x + -1(x + -1) Reorder the terms: -6 + x + 3x = 4x + -1(x + -1) Combine like terms: x + 3x = 4x -6 + 4x = 4x + -1(x + -1) Reorder the terms: -6 + 4x = 4x + -1(-1 + x) -6 + 4x = 4x + (-1 * -1 + x * -1) -6 + 4x = 4x + (1 + -1x) Reorder the terms: -6 + 4x = 1 + 4x + -1x Combine like terms: 4x + -1x = 3x -6 + 4x = 1 + 3x Solving -6 + 4x = 1 + 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. -6 + 4x + -3x = 1 + 3x + -3x Combine like terms: 4x + -3x = 1x -6 + 1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 1x = 1 + 0 -6 + 1x = 1 Add '6' to each side of the equation. -6 + 6 + 1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 1 + 6 1x = 1 + 6 Combine like terms: 1 + 6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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