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Simplifying 2(7x + 4) + -1(3x + -9) = 3(2x + 10) + 8 Reorder the terms: 2(4 + 7x) + -1(3x + -9) = 3(2x + 10) + 8 (4 * 2 + 7x * 2) + -1(3x + -9) = 3(2x + 10) + 8 (8 + 14x) + -1(3x + -9) = 3(2x + 10) + 8 Reorder the terms: 8 + 14x + -1(-9 + 3x) = 3(2x + 10) + 8 8 + 14x + (-9 * -1 + 3x * -1) = 3(2x + 10) + 8 8 + 14x + (9 + -3x) = 3(2x + 10) + 8 Reorder the terms: 8 + 9 + 14x + -3x = 3(2x + 10) + 8 Combine like terms: 8 + 9 = 17 17 + 14x + -3x = 3(2x + 10) + 8 Combine like terms: 14x + -3x = 11x 17 + 11x = 3(2x + 10) + 8 Reorder the terms: 17 + 11x = 3(10 + 2x) + 8 17 + 11x = (10 * 3 + 2x * 3) + 8 17 + 11x = (30 + 6x) + 8 Reorder the terms: 17 + 11x = 30 + 8 + 6x Combine like terms: 30 + 8 = 38 17 + 11x = 38 + 6x Solving 17 + 11x = 38 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17 + 11x + -6x = 38 + 6x + -6x Combine like terms: 11x + -6x = 5x 17 + 5x = 38 + 6x + -6x Combine like terms: 6x + -6x = 0 17 + 5x = 38 + 0 17 + 5x = 38 Add '-17' to each side of the equation. 17 + -17 + 5x = 38 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 38 + -17 5x = 38 + -17 Combine like terms: 38 + -17 = 21 5x = 21 Divide each side by '5'. x = 4.2 Simplifying x = 4.2
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