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Simplifying -5x + x + 9 = 4x + 12 Reorder the terms: 9 + -5x + x = 4x + 12 Combine like terms: -5x + x = -4x 9 + -4x = 4x + 12 Reorder the terms: 9 + -4x = 12 + 4x Solving 9 + -4x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + -4x + -4x = 12 + 4x + -4x Combine like terms: -4x + -4x = -8x 9 + -8x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -8x = 12 + 0 9 + -8x = 12 Add '-9' to each side of the equation. 9 + -9 + -8x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 12 + -9 -8x = 12 + -9 Combine like terms: 12 + -9 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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