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Simplifying 5(x + -9) + -10 = 26x + -307 Reorder the terms: 5(-9 + x) + -10 = 26x + -307 (-9 * 5 + x * 5) + -10 = 26x + -307 (-45 + 5x) + -10 = 26x + -307 Reorder the terms: -45 + -10 + 5x = 26x + -307 Combine like terms: -45 + -10 = -55 -55 + 5x = 26x + -307 Reorder the terms: -55 + 5x = -307 + 26x Solving -55 + 5x = -307 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -55 + 5x + -26x = -307 + 26x + -26x Combine like terms: 5x + -26x = -21x -55 + -21x = -307 + 26x + -26x Combine like terms: 26x + -26x = 0 -55 + -21x = -307 + 0 -55 + -21x = -307 Add '55' to each side of the equation. -55 + 55 + -21x = -307 + 55 Combine like terms: -55 + 55 = 0 0 + -21x = -307 + 55 -21x = -307 + 55 Combine like terms: -307 + 55 = -252 -21x = -252 Divide each side by '-21'. x = 12 Simplifying x = 12
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