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Simplifying -3(2x + 7) + 11x = 2(2x + -5) Reorder the terms: -3(7 + 2x) + 11x = 2(2x + -5) (7 * -3 + 2x * -3) + 11x = 2(2x + -5) (-21 + -6x) + 11x = 2(2x + -5) Combine like terms: -6x + 11x = 5x -21 + 5x = 2(2x + -5) Reorder the terms: -21 + 5x = 2(-5 + 2x) -21 + 5x = (-5 * 2 + 2x * 2) -21 + 5x = (-10 + 4x) Solving -21 + 5x = -10 + 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. -21 + 5x + -4x = -10 + 4x + -4x Combine like terms: 5x + -4x = 1x -21 + 1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 1x = -10 + 0 -21 + 1x = -10 Add '21' to each side of the equation. -21 + 21 + 1x = -10 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -10 + 21 1x = -10 + 21 Combine like terms: -10 + 21 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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