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Simplifying 5x + 3 = -7x + -117 Reorder the terms: 3 + 5x = -7x + -117 Reorder the terms: 3 + 5x = -117 + -7x Solving 3 + 5x = -117 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3 + 5x + 7x = -117 + -7x + 7x Combine like terms: 5x + 7x = 12x 3 + 12x = -117 + -7x + 7x Combine like terms: -7x + 7x = 0 3 + 12x = -117 + 0 3 + 12x = -117 Add '-3' to each side of the equation. 3 + -3 + 12x = -117 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = -117 + -3 12x = -117 + -3 Combine like terms: -117 + -3 = -120 12x = -120 Divide each side by '12'. x = -10 Simplifying x = -10
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