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Simplifying 5(x + -4) + 3x + -9x = 6(2x + 5) + 8x Reorder the terms: 5(-4 + x) + 3x + -9x = 6(2x + 5) + 8x (-4 * 5 + x * 5) + 3x + -9x = 6(2x + 5) + 8x (-20 + 5x) + 3x + -9x = 6(2x + 5) + 8x Combine like terms: 5x + 3x = 8x -20 + 8x + -9x = 6(2x + 5) + 8x Combine like terms: 8x + -9x = -1x -20 + -1x = 6(2x + 5) + 8x Reorder the terms: -20 + -1x = 6(5 + 2x) + 8x -20 + -1x = (5 * 6 + 2x * 6) + 8x -20 + -1x = (30 + 12x) + 8x Combine like terms: 12x + 8x = 20x -20 + -1x = 30 + 20x Solving -20 + -1x = 30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -20 + -1x + -20x = 30 + 20x + -20x Combine like terms: -1x + -20x = -21x -20 + -21x = 30 + 20x + -20x Combine like terms: 20x + -20x = 0 -20 + -21x = 30 + 0 -20 + -21x = 30 Add '20' to each side of the equation. -20 + 20 + -21x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + -21x = 30 + 20 -21x = 30 + 20 Combine like terms: 30 + 20 = 50 -21x = 50 Divide each side by '-21'. x = -2.380952381 Simplifying x = -2.380952381
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