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Simplifying 8x + -2 + 5x = -11 + 2(x + -1) Reorder the terms: -2 + 8x + 5x = -11 + 2(x + -1) Combine like terms: 8x + 5x = 13x -2 + 13x = -11 + 2(x + -1) Reorder the terms: -2 + 13x = -11 + 2(-1 + x) -2 + 13x = -11 + (-1 * 2 + x * 2) -2 + 13x = -11 + (-2 + 2x) Combine like terms: -11 + -2 = -13 -2 + 13x = -13 + 2x Solving -2 + 13x = -13 + 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. -2 + 13x + -2x = -13 + 2x + -2x Combine like terms: 13x + -2x = 11x -2 + 11x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 11x = -13 + 0 -2 + 11x = -13 Add '2' to each side of the equation. -2 + 2 + 11x = -13 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = -13 + 2 11x = -13 + 2 Combine like terms: -13 + 2 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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