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Simplifying 5(3x + 1) + -4(x + -5) = 26 Reorder the terms: 5(1 + 3x) + -4(x + -5) = 26 (1 * 5 + 3x * 5) + -4(x + -5) = 26 (5 + 15x) + -4(x + -5) = 26 Reorder the terms: 5 + 15x + -4(-5 + x) = 26 5 + 15x + (-5 * -4 + x * -4) = 26 5 + 15x + (20 + -4x) = 26 Reorder the terms: 5 + 20 + 15x + -4x = 26 Combine like terms: 5 + 20 = 25 25 + 15x + -4x = 26 Combine like terms: 15x + -4x = 11x 25 + 11x = 26 Solving 25 + 11x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 11x = 26 + -25 Combine like terms: 25 + -25 = 0 0 + 11x = 26 + -25 11x = 26 + -25 Combine like terms: 26 + -25 = 1 11x = 1 Divide each side by '11'. x = 0.09090909091 Simplifying x = 0.09090909091
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