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Simplifying 12(15x + -11) + 20 + -17(10x + 30) = -40x + 9(12x + 4) + -16 Reorder the terms: 12(-11 + 15x) + 20 + -17(10x + 30) = -40x + 9(12x + 4) + -16 (-11 * 12 + 15x * 12) + 20 + -17(10x + 30) = -40x + 9(12x + 4) + -16 (-132 + 180x) + 20 + -17(10x + 30) = -40x + 9(12x + 4) + -16 Reorder the terms: -132 + 180x + 20 + -17(30 + 10x) = -40x + 9(12x + 4) + -16 -132 + 180x + 20 + (30 * -17 + 10x * -17) = -40x + 9(12x + 4) + -16 -132 + 180x + 20 + (-510 + -170x) = -40x + 9(12x + 4) + -16 Reorder the terms: -132 + 20 + -510 + 180x + -170x = -40x + 9(12x + 4) + -16 Combine like terms: -132 + 20 = -112 -112 + -510 + 180x + -170x = -40x + 9(12x + 4) + -16 Combine like terms: -112 + -510 = -622 -622 + 180x + -170x = -40x + 9(12x + 4) + -16 Combine like terms: 180x + -170x = 10x -622 + 10x = -40x + 9(12x + 4) + -16 Reorder the terms: -622 + 10x = -40x + 9(4 + 12x) + -16 -622 + 10x = -40x + (4 * 9 + 12x * 9) + -16 -622 + 10x = -40x + (36 + 108x) + -16 Reorder the terms: -622 + 10x = 36 + -16 + -40x + 108x Combine like terms: 36 + -16 = 20 -622 + 10x = 20 + -40x + 108x Combine like terms: -40x + 108x = 68x -622 + 10x = 20 + 68x Solving -622 + 10x = 20 + 68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68x' to each side of the equation. -622 + 10x + -68x = 20 + 68x + -68x Combine like terms: 10x + -68x = -58x -622 + -58x = 20 + 68x + -68x Combine like terms: 68x + -68x = 0 -622 + -58x = 20 + 0 -622 + -58x = 20 Add '622' to each side of the equation. -622 + 622 + -58x = 20 + 622 Combine like terms: -622 + 622 = 0 0 + -58x = 20 + 622 -58x = 20 + 622 Combine like terms: 20 + 622 = 642 -58x = 642 Divide each side by '-58'. x = -11.06896552 Simplifying x = -11.06896552
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