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Simplifying -2 + -3x + 5 = 16 + 2x + 22 Reorder the terms: -2 + 5 + -3x = 16 + 2x + 22 Combine like terms: -2 + 5 = 3 3 + -3x = 16 + 2x + 22 Reorder the terms: 3 + -3x = 16 + 22 + 2x Combine like terms: 16 + 22 = 38 3 + -3x = 38 + 2x Solving 3 + -3x = 38 + 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. 3 + -3x + -2x = 38 + 2x + -2x Combine like terms: -3x + -2x = -5x 3 + -5x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -5x = 38 + 0 3 + -5x = 38 Add '-3' to each side of the equation. 3 + -3 + -5x = 38 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 38 + -3 -5x = 38 + -3 Combine like terms: 38 + -3 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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