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Simplifying -11(4x + 5) + -8 + -7 + -3(10x + 3) = -9x + 10x Reorder the terms: -11(5 + 4x) + -8 + -7 + -3(10x + 3) = -9x + 10x (5 * -11 + 4x * -11) + -8 + -7 + -3(10x + 3) = -9x + 10x (-55 + -44x) + -8 + -7 + -3(10x + 3) = -9x + 10x Reorder the terms: -55 + -44x + -8 + -7 + -3(3 + 10x) = -9x + 10x -55 + -44x + -8 + -7 + (3 * -3 + 10x * -3) = -9x + 10x -55 + -44x + -8 + -7 + (-9 + -30x) = -9x + 10x Reorder the terms: -55 + -8 + -7 + -9 + -44x + -30x = -9x + 10x Combine like terms: -55 + -8 = -63 -63 + -7 + -9 + -44x + -30x = -9x + 10x Combine like terms: -63 + -7 = -70 -70 + -9 + -44x + -30x = -9x + 10x Combine like terms: -70 + -9 = -79 -79 + -44x + -30x = -9x + 10x Combine like terms: -44x + -30x = -74x -79 + -74x = -9x + 10x Combine like terms: -9x + 10x = 1x -79 + -74x = 1x Solving -79 + -74x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -79 + -74x + -1x = 1x + -1x Combine like terms: -74x + -1x = -75x -79 + -75x = 1x + -1x Combine like terms: 1x + -1x = 0 -79 + -75x = 0 Add '79' to each side of the equation. -79 + 79 + -75x = 0 + 79 Combine like terms: -79 + 79 = 0 0 + -75x = 0 + 79 -75x = 0 + 79 Combine like terms: 0 + 79 = 79 -75x = 79 Divide each side by '-75'. x = -1.053333333 Simplifying x = -1.053333333
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