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Simplifying 12 + 7x + -9 = 3x + 5 + -8 + -4x Reorder the terms: 12 + -9 + 7x = 3x + 5 + -8 + -4x Combine like terms: 12 + -9 = 3 3 + 7x = 3x + 5 + -8 + -4x Reorder the terms: 3 + 7x = 5 + -8 + 3x + -4x Combine like terms: 5 + -8 = -3 3 + 7x = -3 + 3x + -4x Combine like terms: 3x + -4x = -1x 3 + 7x = -3 + -1x Solving 3 + 7x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 7x + x = -3 + -1x + x Combine like terms: 7x + x = 8x 3 + 8x = -3 + -1x + x Combine like terms: -1x + x = 0 3 + 8x = -3 + 0 3 + 8x = -3 Add '-3' to each side of the equation. 3 + -3 + 8x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = -3 + -3 8x = -3 + -3 Combine like terms: -3 + -3 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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