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Simplifying 9(3x + -26) + 15 = 6x + -24 Reorder the terms: 9(-26 + 3x) + 15 = 6x + -24 (-26 * 9 + 3x * 9) + 15 = 6x + -24 (-234 + 27x) + 15 = 6x + -24 Reorder the terms: -234 + 15 + 27x = 6x + -24 Combine like terms: -234 + 15 = -219 -219 + 27x = 6x + -24 Reorder the terms: -219 + 27x = -24 + 6x Solving -219 + 27x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -219 + 27x + -6x = -24 + 6x + -6x Combine like terms: 27x + -6x = 21x -219 + 21x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -219 + 21x = -24 + 0 -219 + 21x = -24 Add '219' to each side of the equation. -219 + 219 + 21x = -24 + 219 Combine like terms: -219 + 219 = 0 0 + 21x = -24 + 219 21x = -24 + 219 Combine like terms: -24 + 219 = 195 21x = 195 Divide each side by '21'. x = 9.285714286 Simplifying x = 9.285714286
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