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Simplifying -3x + 2 + -5(7 + -8x) = 4x + 3x + -1(2x + 3) + 27x -3x + 2 + (7 * -5 + -8x * -5) = 4x + 3x + -1(2x + 3) + 27x -3x + 2 + (-35 + 40x) = 4x + 3x + -1(2x + 3) + 27x Reorder the terms: 2 + -35 + -3x + 40x = 4x + 3x + -1(2x + 3) + 27x Combine like terms: 2 + -35 = -33 -33 + -3x + 40x = 4x + 3x + -1(2x + 3) + 27x Combine like terms: -3x + 40x = 37x -33 + 37x = 4x + 3x + -1(2x + 3) + 27x Reorder the terms: -33 + 37x = 4x + 3x + -1(3 + 2x) + 27x -33 + 37x = 4x + 3x + (3 * -1 + 2x * -1) + 27x -33 + 37x = 4x + 3x + (-3 + -2x) + 27x Reorder the terms: -33 + 37x = -3 + 4x + 3x + -2x + 27x Combine like terms: 4x + 3x = 7x -33 + 37x = -3 + 7x + -2x + 27x Combine like terms: 7x + -2x = 5x -33 + 37x = -3 + 5x + 27x Combine like terms: 5x + 27x = 32x -33 + 37x = -3 + 32x Solving -33 + 37x = -3 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -33 + 37x + -32x = -3 + 32x + -32x Combine like terms: 37x + -32x = 5x -33 + 5x = -3 + 32x + -32x Combine like terms: 32x + -32x = 0 -33 + 5x = -3 + 0 -33 + 5x = -3 Add '33' to each side of the equation. -33 + 33 + 5x = -3 + 33 Combine like terms: -33 + 33 = 0 0 + 5x = -3 + 33 5x = -3 + 33 Combine like terms: -3 + 33 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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