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Simplifying 5(x + -4) + 3x + -9x = 6(2x + 5) + 8 Reorder the terms: 5(-4 + x) + 3x + -9x = 6(2x + 5) + 8 (-4 * 5 + x * 5) + 3x + -9x = 6(2x + 5) + 8 (-20 + 5x) + 3x + -9x = 6(2x + 5) + 8 Combine like terms: 5x + 3x = 8x -20 + 8x + -9x = 6(2x + 5) + 8 Combine like terms: 8x + -9x = -1x -20 + -1x = 6(2x + 5) + 8 Reorder the terms: -20 + -1x = 6(5 + 2x) + 8 -20 + -1x = (5 * 6 + 2x * 6) + 8 -20 + -1x = (30 + 12x) + 8 Reorder the terms: -20 + -1x = 30 + 8 + 12x Combine like terms: 30 + 8 = 38 -20 + -1x = 38 + 12x Solving -20 + -1x = 38 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + -1x + -12x = 38 + 12x + -12x Combine like terms: -1x + -12x = -13x -20 + -13x = 38 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -13x = 38 + 0 -20 + -13x = 38 Add '20' to each side of the equation. -20 + 20 + -13x = 38 + 20 Combine like terms: -20 + 20 = 0 0 + -13x = 38 + 20 -13x = 38 + 20 Combine like terms: 38 + 20 = 58 -13x = 58 Divide each side by '-13'. x = -4.461538462 Simplifying x = -4.461538462
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