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Simplifying 3x + 7 = -9x + 4 Reorder the terms: 7 + 3x = -9x + 4 Reorder the terms: 7 + 3x = 4 + -9x Solving 7 + 3x = 4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 7 + 3x + 9x = 4 + -9x + 9x Combine like terms: 3x + 9x = 12x 7 + 12x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 12x = 4 + 0 7 + 12x = 4 Add '-7' to each side of the equation. 7 + -7 + 12x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 4 + -7 12x = 4 + -7 Combine like terms: 4 + -7 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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