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Simplifying 2 + -7x = 4x + -31 Reorder the terms: 2 + -7x = -31 + 4x Solving 2 + -7x = -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. 2 + -7x + -4x = -31 + 4x + -4x Combine like terms: -7x + -4x = -11x 2 + -11x = -31 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -11x = -31 + 0 2 + -11x = -31 Add '-2' to each side of the equation. 2 + -2 + -11x = -31 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = -31 + -2 -11x = -31 + -2 Combine like terms: -31 + -2 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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