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Simplifying 8(2 + -9x) + -1(6x + -5) = 5 (2 * 8 + -9x * 8) + -1(6x + -5) = 5 (16 + -72x) + -1(6x + -5) = 5 Reorder the terms: 16 + -72x + -1(-5 + 6x) = 5 16 + -72x + (-5 * -1 + 6x * -1) = 5 16 + -72x + (5 + -6x) = 5 Reorder the terms: 16 + 5 + -72x + -6x = 5 Combine like terms: 16 + 5 = 21 21 + -72x + -6x = 5 Combine like terms: -72x + -6x = -78x 21 + -78x = 5 Solving 21 + -78x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -78x = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -78x = 5 + -21 -78x = 5 + -21 Combine like terms: 5 + -21 = -16 -78x = -16 Divide each side by '-78'. x = 0.2051282051 Simplifying x = 0.2051282051
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