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Simplifying 5(x + -6) + 8(x + 8) = 45 Reorder the terms: 5(-6 + x) + 8(x + 8) = 45 (-6 * 5 + x * 5) + 8(x + 8) = 45 (-30 + 5x) + 8(x + 8) = 45 Reorder the terms: -30 + 5x + 8(8 + x) = 45 -30 + 5x + (8 * 8 + x * 8) = 45 -30 + 5x + (64 + 8x) = 45 Reorder the terms: -30 + 64 + 5x + 8x = 45 Combine like terms: -30 + 64 = 34 34 + 5x + 8x = 45 Combine like terms: 5x + 8x = 13x 34 + 13x = 45 Solving 34 + 13x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 13x = 45 + -34 Combine like terms: 34 + -34 = 0 0 + 13x = 45 + -34 13x = 45 + -34 Combine like terms: 45 + -34 = 11 13x = 11 Divide each side by '13'. x = 0.8461538462 Simplifying x = 0.8461538462
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