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Simplifying 8(5 + x) + 5(1 + x) = -33 (5 * 8 + x * 8) + 5(1 + x) = -33 (40 + 8x) + 5(1 + x) = -33 40 + 8x + (1 * 5 + x * 5) = -33 40 + 8x + (5 + 5x) = -33 Reorder the terms: 40 + 5 + 8x + 5x = -33 Combine like terms: 40 + 5 = 45 45 + 8x + 5x = -33 Combine like terms: 8x + 5x = 13x 45 + 13x = -33 Solving 45 + 13x = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 13x = -33 + -45 Combine like terms: 45 + -45 = 0 0 + 13x = -33 + -45 13x = -33 + -45 Combine like terms: -33 + -45 = -78 13x = -78 Divide each side by '13'. x = -6 Simplifying x = -6
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