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Simplifying -4 + (3 + -3x) + -1(1 + -1x) = 4x + -2(x + -3) Remove parenthesis around (3 + -3x) -4 + 3 + -3x + -1(1 + -1x) = 4x + -2(x + -3) -4 + 3 + -3x + (1 * -1 + -1x * -1) = 4x + -2(x + -3) -4 + 3 + -3x + (-1 + 1x) = 4x + -2(x + -3) Reorder the terms: -4 + 3 + -1 + -3x + 1x = 4x + -2(x + -3) Combine like terms: -4 + 3 = -1 -1 + -1 + -3x + 1x = 4x + -2(x + -3) Combine like terms: -1 + -1 = -2 -2 + -3x + 1x = 4x + -2(x + -3) Combine like terms: -3x + 1x = -2x -2 + -2x = 4x + -2(x + -3) Reorder the terms: -2 + -2x = 4x + -2(-3 + x) -2 + -2x = 4x + (-3 * -2 + x * -2) -2 + -2x = 4x + (6 + -2x) Reorder the terms: -2 + -2x = 6 + 4x + -2x Combine like terms: 4x + -2x = 2x -2 + -2x = 6 + 2x Solving -2 + -2x = 6 + 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. -2 + -2x + -2x = 6 + 2x + -2x Combine like terms: -2x + -2x = -4x -2 + -4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -4x = 6 + 0 -2 + -4x = 6 Add '2' to each side of the equation. -2 + 2 + -4x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 6 + 2 -4x = 6 + 2 Combine like terms: 6 + 2 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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