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Simplifying 5(x + 4) + 0.25(x + 4) + -6 = 9(x + -8) Reorder the terms: 5(4 + x) + 0.25(x + 4) + -6 = 9(x + -8) (4 * 5 + x * 5) + 0.25(x + 4) + -6 = 9(x + -8) (20 + 5x) + 0.25(x + 4) + -6 = 9(x + -8) Reorder the terms: 20 + 5x + 0.25(4 + x) + -6 = 9(x + -8) 20 + 5x + (4 * 0.25 + x * 0.25) + -6 = 9(x + -8) 20 + 5x + (1 + 0.25x) + -6 = 9(x + -8) Reorder the terms: 20 + 1 + -6 + 5x + 0.25x = 9(x + -8) Combine like terms: 20 + 1 = 21 21 + -6 + 5x + 0.25x = 9(x + -8) Combine like terms: 21 + -6 = 15 15 + 5x + 0.25x = 9(x + -8) Combine like terms: 5x + 0.25x = 5.25x 15 + 5.25x = 9(x + -8) Reorder the terms: 15 + 5.25x = 9(-8 + x) 15 + 5.25x = (-8 * 9 + x * 9) 15 + 5.25x = (-72 + 9x) Solving 15 + 5.25x = -72 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 5.25x + -9x = -72 + 9x + -9x Combine like terms: 5.25x + -9x = -3.75x 15 + -3.75x = -72 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -3.75x = -72 + 0 15 + -3.75x = -72 Add '-15' to each side of the equation. 15 + -15 + -3.75x = -72 + -15 Combine like terms: 15 + -15 = 0 0 + -3.75x = -72 + -15 -3.75x = -72 + -15 Combine like terms: -72 + -15 = -87 -3.75x = -87 Divide each side by '-3.75'. x = 23.2 Simplifying x = 23.2
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