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Simplifying 7x + 5 = 3x + (-7) Reorder the terms: 5 + 7x = 3x + (-7) 5 + 7x = 3x + -7 Reorder the terms: 5 + 7x = -7 + 3x Solving 5 + 7x = -7 + 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. 5 + 7x + -3x = -7 + 3x + -3x Combine like terms: 7x + -3x = 4x 5 + 4x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 4x = -7 + 0 5 + 4x = -7 Add '-5' to each side of the equation. 5 + -5 + 4x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = -7 + -5 4x = -7 + -5 Combine like terms: -7 + -5 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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