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Simplifying 3x + 9 + -7x = 12x + 35 Reorder the terms: 9 + 3x + -7x = 12x + 35 Combine like terms: 3x + -7x = -4x 9 + -4x = 12x + 35 Reorder the terms: 9 + -4x = 35 + 12x Solving 9 + -4x = 35 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + -4x + -12x = 35 + 12x + -12x Combine like terms: -4x + -12x = -16x 9 + -16x = 35 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -16x = 35 + 0 9 + -16x = 35 Add '-9' to each side of the equation. 9 + -9 + -16x = 35 + -9 Combine like terms: 9 + -9 = 0 0 + -16x = 35 + -9 -16x = 35 + -9 Combine like terms: 35 + -9 = 26 -16x = 26 Divide each side by '-16'. x = -1.625 Simplifying x = -1.625
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