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Simplifying -3x + 4x + -2(x + -3x + 3) = 5x + -1(2 + -1x) Reorder the terms: -3x + 4x + -2(3 + x + -3x) = 5x + -1(2 + -1x) Combine like terms: x + -3x = -2x -3x + 4x + -2(3 + -2x) = 5x + -1(2 + -1x) -3x + 4x + (3 * -2 + -2x * -2) = 5x + -1(2 + -1x) -3x + 4x + (-6 + 4x) = 5x + -1(2 + -1x) Reorder the terms: -6 + -3x + 4x + 4x = 5x + -1(2 + -1x) Combine like terms: -3x + 4x = 1x -6 + 1x + 4x = 5x + -1(2 + -1x) Combine like terms: 1x + 4x = 5x -6 + 5x = 5x + -1(2 + -1x) -6 + 5x = 5x + (2 * -1 + -1x * -1) -6 + 5x = 5x + (-2 + 1x) Reorder the terms: -6 + 5x = -2 + 5x + 1x Combine like terms: 5x + 1x = 6x -6 + 5x = -2 + 6x Solving -6 + 5x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 5x + -6x = -2 + 6x + -6x Combine like terms: 5x + -6x = -1x -6 + -1x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -1x = -2 + 0 -6 + -1x = -2 Add '6' to each side of the equation. -6 + 6 + -1x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -2 + 6 -1x = -2 + 6 Combine like terms: -2 + 6 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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