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Simplifying 3x + -10 = 5x + 22 Reorder the terms: -10 + 3x = 5x + 22 Reorder the terms: -10 + 3x = 22 + 5x Solving -10 + 3x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 3x + -5x = 22 + 5x + -5x Combine like terms: 3x + -5x = -2x -10 + -2x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -2x = 22 + 0 -10 + -2x = 22 Add '10' to each side of the equation. -10 + 10 + -2x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 22 + 10 -2x = 22 + 10 Combine like terms: 22 + 10 = 32 -2x = 32 Divide each side by '-2'. x = -16 Simplifying x = -16
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