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Simplifying -7 + -4(1 + -1x) = 31 + -2x -7 + (1 * -4 + -1x * -4) = 31 + -2x -7 + (-4 + 4x) = 31 + -2x Combine like terms: -7 + -4 = -11 -11 + 4x = 31 + -2x Solving -11 + 4x = 31 + -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. -11 + 4x + 2x = 31 + -2x + 2x Combine like terms: 4x + 2x = 6x -11 + 6x = 31 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 6x = 31 + 0 -11 + 6x = 31 Add '11' to each side of the equation. -11 + 11 + 6x = 31 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 31 + 11 6x = 31 + 11 Combine like terms: 31 + 11 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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