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Simplifying 7 + -2x + 9 = 3x + -4 Reorder the terms: 7 + 9 + -2x = 3x + -4 Combine like terms: 7 + 9 = 16 16 + -2x = 3x + -4 Reorder the terms: 16 + -2x = -4 + 3x Solving 16 + -2x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + -2x + -3x = -4 + 3x + -3x Combine like terms: -2x + -3x = -5x 16 + -5x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -5x = -4 + 0 16 + -5x = -4 Add '-16' to each side of the equation. 16 + -16 + -5x = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = -4 + -16 -5x = -4 + -16 Combine like terms: -4 + -16 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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