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Simplifying 2(x + -11) = -3(-5x + -11) + -2x Reorder the terms: 2(-11 + x) = -3(-5x + -11) + -2x (-11 * 2 + x * 2) = -3(-5x + -11) + -2x (-22 + 2x) = -3(-5x + -11) + -2x Reorder the terms: -22 + 2x = -3(-11 + -5x) + -2x -22 + 2x = (-11 * -3 + -5x * -3) + -2x -22 + 2x = (33 + 15x) + -2x Combine like terms: 15x + -2x = 13x -22 + 2x = 33 + 13x Solving -22 + 2x = 33 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -22 + 2x + -13x = 33 + 13x + -13x Combine like terms: 2x + -13x = -11x -22 + -11x = 33 + 13x + -13x Combine like terms: 13x + -13x = 0 -22 + -11x = 33 + 0 -22 + -11x = 33 Add '22' to each side of the equation. -22 + 22 + -11x = 33 + 22 Combine like terms: -22 + 22 = 0 0 + -11x = 33 + 22 -11x = 33 + 22 Combine like terms: 33 + 22 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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