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Simplifying 4x + -31 = 2x + -7 Reorder the terms: -31 + 4x = 2x + -7 Reorder the terms: -31 + 4x = -7 + 2x Solving -31 + 4x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -31 + 4x + -2x = -7 + 2x + -2x Combine like terms: 4x + -2x = 2x -31 + 2x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 2x = -7 + 0 -31 + 2x = -7 Add '31' to each side of the equation. -31 + 31 + 2x = -7 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = -7 + 31 2x = -7 + 31 Combine like terms: -7 + 31 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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