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