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Simplifying 8(6 + 11x) + -13(4 + -5x) = 149 (6 * 8 + 11x * 8) + -13(4 + -5x) = 149 (48 + 88x) + -13(4 + -5x) = 149 48 + 88x + (4 * -13 + -5x * -13) = 149 48 + 88x + (-52 + 65x) = 149 Reorder the terms: 48 + -52 + 88x + 65x = 149 Combine like terms: 48 + -52 = -4 -4 + 88x + 65x = 149 Combine like terms: 88x + 65x = 153x -4 + 153x = 149 Solving -4 + 153x = 149 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 153x = 149 + 4 Combine like terms: -4 + 4 = 0 0 + 153x = 149 + 4 153x = 149 + 4 Combine like terms: 149 + 4 = 153 153x = 153 Divide each side by '153'. x = 1 Simplifying x = 1
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