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Simplifying 7x + 4 + -2x = -4x + 31 Reorder the terms: 4 + 7x + -2x = -4x + 31 Combine like terms: 7x + -2x = 5x 4 + 5x = -4x + 31 Reorder the terms: 4 + 5x = 31 + -4x Solving 4 + 5x = 31 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + 5x + 4x = 31 + -4x + 4x Combine like terms: 5x + 4x = 9x 4 + 9x = 31 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 9x = 31 + 0 4 + 9x = 31 Add '-4' to each side of the equation. 4 + -4 + 9x = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 31 + -4 9x = 31 + -4 Combine like terms: 31 + -4 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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