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Simplifying 7 + -9x + 12 = 3x + 5 + -8x Reorder the terms: 7 + 12 + -9x = 3x + 5 + -8x Combine like terms: 7 + 12 = 19 19 + -9x = 3x + 5 + -8x Reorder the terms: 19 + -9x = 5 + 3x + -8x Combine like terms: 3x + -8x = -5x 19 + -9x = 5 + -5x Solving 19 + -9x = 5 + -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. 19 + -9x + 5x = 5 + -5x + 5x Combine like terms: -9x + 5x = -4x 19 + -4x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 19 + -4x = 5 + 0 19 + -4x = 5 Add '-19' to each side of the equation. 19 + -19 + -4x = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 5 + -19 -4x = 5 + -19 Combine like terms: 5 + -19 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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