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Simplifying -10(2x + -3) + -2 = -11(x + 4) Reorder the terms: -10(-3 + 2x) + -2 = -11(x + 4) (-3 * -10 + 2x * -10) + -2 = -11(x + 4) (30 + -20x) + -2 = -11(x + 4) Reorder the terms: 30 + -2 + -20x = -11(x + 4) Combine like terms: 30 + -2 = 28 28 + -20x = -11(x + 4) Reorder the terms: 28 + -20x = -11(4 + x) 28 + -20x = (4 * -11 + x * -11) 28 + -20x = (-44 + -11x) Solving 28 + -20x = -44 + -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. 28 + -20x + 11x = -44 + -11x + 11x Combine like terms: -20x + 11x = -9x 28 + -9x = -44 + -11x + 11x Combine like terms: -11x + 11x = 0 28 + -9x = -44 + 0 28 + -9x = -44 Add '-28' to each side of the equation. 28 + -28 + -9x = -44 + -28 Combine like terms: 28 + -28 = 0 0 + -9x = -44 + -28 -9x = -44 + -28 Combine like terms: -44 + -28 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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