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Simplifying 8x + -1(-2x + 11) = 4x + 31 Reorder the terms: 8x + -1(11 + -2x) = 4x + 31 8x + (11 * -1 + -2x * -1) = 4x + 31 8x + (-11 + 2x) = 4x + 31 Reorder the terms: -11 + 8x + 2x = 4x + 31 Combine like terms: 8x + 2x = 10x -11 + 10x = 4x + 31 Reorder the terms: -11 + 10x = 31 + 4x Solving -11 + 10x = 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. -11 + 10x + -4x = 31 + 4x + -4x Combine like terms: 10x + -4x = 6x -11 + 6x = 31 + 4x + -4x Combine like terms: 4x + -4x = 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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