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Simplifying -3x + (-21) = 2x + (-2) -3x + -21 = 2x + (-2) Reorder the terms: -21 + -3x = 2x + (-2) -21 + -3x = 2x + -2 Reorder the terms: -21 + -3x = -2 + 2x Solving -21 + -3x = -2 + 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. -21 + -3x + -2x = -2 + 2x + -2x Combine like terms: -3x + -2x = -5x -21 + -5x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + -5x = -2 + 0 -21 + -5x = -2 Add '21' to each side of the equation. -21 + 21 + -5x = -2 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = -2 + 21 -5x = -2 + 21 Combine like terms: -2 + 21 = 19 -5x = 19 Divide each side by '-5'. x = -3.8 Simplifying x = -3.8
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