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Simplifying -11(x + 10) = 33 + 2x Reorder the terms: -11(10 + x) = 33 + 2x (10 * -11 + x * -11) = 33 + 2x (-110 + -11x) = 33 + 2x Solving -110 + -11x = 33 + 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. -110 + -11x + -2x = 33 + 2x + -2x Combine like terms: -11x + -2x = -13x -110 + -13x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 -110 + -13x = 33 + 0 -110 + -13x = 33 Add '110' to each side of the equation. -110 + 110 + -13x = 33 + 110 Combine like terms: -110 + 110 = 0 0 + -13x = 33 + 110 -13x = 33 + 110 Combine like terms: 33 + 110 = 143 -13x = 143 Divide each side by '-13'. x = -11 Simplifying x = -11
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