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Simplifying -2x + 11 = 3(x + -5) + 8x Reorder the terms: 11 + -2x = 3(x + -5) + 8x Reorder the terms: 11 + -2x = 3(-5 + x) + 8x 11 + -2x = (-5 * 3 + x * 3) + 8x 11 + -2x = (-15 + 3x) + 8x Combine like terms: 3x + 8x = 11x 11 + -2x = -15 + 11x Solving 11 + -2x = -15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 11 + -2x + -11x = -15 + 11x + -11x Combine like terms: -2x + -11x = -13x 11 + -13x = -15 + 11x + -11x Combine like terms: 11x + -11x = 0 11 + -13x = -15 + 0 11 + -13x = -15 Add '-11' to each side of the equation. 11 + -11 + -13x = -15 + -11 Combine like terms: 11 + -11 = 0 0 + -13x = -15 + -11 -13x = -15 + -11 Combine like terms: -15 + -11 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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