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Simplifying 10(2x + 4) = -1(-8 + -9x) + 3 Reorder the terms: 10(4 + 2x) = -1(-8 + -9x) + 3 (4 * 10 + 2x * 10) = -1(-8 + -9x) + 3 (40 + 20x) = -1(-8 + -9x) + 3 40 + 20x = (-8 * -1 + -9x * -1) + 3 40 + 20x = (8 + 9x) + 3 Reorder the terms: 40 + 20x = 8 + 3 + 9x Combine like terms: 8 + 3 = 11 40 + 20x = 11 + 9x Solving 40 + 20x = 11 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 40 + 20x + -9x = 11 + 9x + -9x Combine like terms: 20x + -9x = 11x 40 + 11x = 11 + 9x + -9x Combine like terms: 9x + -9x = 0 40 + 11x = 11 + 0 40 + 11x = 11 Add '-40' to each side of the equation. 40 + -40 + 11x = 11 + -40 Combine like terms: 40 + -40 = 0 0 + 11x = 11 + -40 11x = 11 + -40 Combine like terms: 11 + -40 = -29 11x = -29 Divide each side by '11'. x = -2.636363636 Simplifying x = -2.636363636
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