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Simplifying -5x + 12 = 3x + 22 Reorder the terms: 12 + -5x = 3x + 22 Reorder the terms: 12 + -5x = 22 + 3x Solving 12 + -5x = 22 + 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. 12 + -5x + -3x = 22 + 3x + -3x Combine like terms: -5x + -3x = -8x 12 + -8x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -8x = 22 + 0 12 + -8x = 22 Add '-12' to each side of the equation. 12 + -12 + -8x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 22 + -12 -8x = 22 + -12 Combine like terms: 22 + -12 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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