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Simplifying 11 + -4x = 3x + 7x + -31 Reorder the terms: 11 + -4x = -31 + 3x + 7x Combine like terms: 3x + 7x = 10x 11 + -4x = -31 + 10x Solving 11 + -4x = -31 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 11 + -4x + -10x = -31 + 10x + -10x Combine like terms: -4x + -10x = -14x 11 + -14x = -31 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + -14x = -31 + 0 11 + -14x = -31 Add '-11' to each side of the equation. 11 + -11 + -14x = -31 + -11 Combine like terms: 11 + -11 = 0 0 + -14x = -31 + -11 -14x = -31 + -11 Combine like terms: -31 + -11 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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