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