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Simplifying -2(x + 5) + -11 = -3(x + 3) Reorder the terms: -2(5 + x) + -11 = -3(x + 3) (5 * -2 + x * -2) + -11 = -3(x + 3) (-10 + -2x) + -11 = -3(x + 3) Reorder the terms: -10 + -11 + -2x = -3(x + 3) Combine like terms: -10 + -11 = -21 -21 + -2x = -3(x + 3) Reorder the terms: -21 + -2x = -3(3 + x) -21 + -2x = (3 * -3 + x * -3) -21 + -2x = (-9 + -3x) Solving -21 + -2x = -9 + -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. -21 + -2x + 3x = -9 + -3x + 3x Combine like terms: -2x + 3x = 1x -21 + 1x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 1x = -9 + 0 -21 + 1x = -9 Add '21' to each side of the equation. -21 + 21 + 1x = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -9 + 21 1x = -9 + 21 Combine like terms: -9 + 21 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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