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Simplifying x + -11 + 7x = 5 + -3(x + -2) Reorder the terms: -11 + x + 7x = 5 + -3(x + -2) Combine like terms: x + 7x = 8x -11 + 8x = 5 + -3(x + -2) Reorder the terms: -11 + 8x = 5 + -3(-2 + x) -11 + 8x = 5 + (-2 * -3 + x * -3) -11 + 8x = 5 + (6 + -3x) Combine like terms: 5 + 6 = 11 -11 + 8x = 11 + -3x Solving -11 + 8x = 11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -11 + 8x + 3x = 11 + -3x + 3x Combine like terms: 8x + 3x = 11x -11 + 11x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -11 + 11x = 11 + 0 -11 + 11x = 11 Add '11' to each side of the equation. -11 + 11 + 11x = 11 + 11 Combine like terms: -11 + 11 = 0 0 + 11x = 11 + 11 11x = 11 + 11 Combine like terms: 11 + 11 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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