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Simplifying 5x + 6x + -8(x + -10) = 45 Reorder the terms: 5x + 6x + -8(-10 + x) = 45 5x + 6x + (-10 * -8 + x * -8) = 45 5x + 6x + (80 + -8x) = 45 Reorder the terms: 80 + 5x + 6x + -8x = 45 Combine like terms: 5x + 6x = 11x 80 + 11x + -8x = 45 Combine like terms: 11x + -8x = 3x 80 + 3x = 45 Solving 80 + 3x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 3x = 45 + -80 Combine like terms: 80 + -80 = 0 0 + 3x = 45 + -80 3x = 45 + -80 Combine like terms: 45 + -80 = -35 3x = -35 Divide each side by '3'. x = -11.66666667 Simplifying x = -11.66666667
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