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Simplifying 7(1 + 9x) + -8(-5x + -6) = 0 (1 * 7 + 9x * 7) + -8(-5x + -6) = 0 (7 + 63x) + -8(-5x + -6) = 0 Reorder the terms: 7 + 63x + -8(-6 + -5x) = 0 7 + 63x + (-6 * -8 + -5x * -8) = 0 7 + 63x + (48 + 40x) = 0 Reorder the terms: 7 + 48 + 63x + 40x = 0 Combine like terms: 7 + 48 = 55 55 + 63x + 40x = 0 Combine like terms: 63x + 40x = 103x 55 + 103x = 0 Solving 55 + 103x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 103x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 103x = 0 + -55 103x = 0 + -55 Combine like terms: 0 + -55 = -55 103x = -55 Divide each side by '103'. x = -0.5339805825 Simplifying x = -0.5339805825
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