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Simplifying 26x + -9 = 5(3x + 5) + -6 Reorder the terms: -9 + 26x = 5(3x + 5) + -6 Reorder the terms: -9 + 26x = 5(5 + 3x) + -6 -9 + 26x = (5 * 5 + 3x * 5) + -6 -9 + 26x = (25 + 15x) + -6 Reorder the terms: -9 + 26x = 25 + -6 + 15x Combine like terms: 25 + -6 = 19 -9 + 26x = 19 + 15x Solving -9 + 26x = 19 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -9 + 26x + -15x = 19 + 15x + -15x Combine like terms: 26x + -15x = 11x -9 + 11x = 19 + 15x + -15x Combine like terms: 15x + -15x = 0 -9 + 11x = 19 + 0 -9 + 11x = 19 Add '9' to each side of the equation. -9 + 9 + 11x = 19 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 19 + 9 11x = 19 + 9 Combine like terms: 19 + 9 = 28 11x = 28 Divide each side by '11'. x = 2.545454545 Simplifying x = 2.545454545
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