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Simplifying 8(1 + 5x) + 5 = -13 + -5x + -7 (1 * 8 + 5x * 8) + 5 = -13 + -5x + -7 (8 + 40x) + 5 = -13 + -5x + -7 Reorder the terms: 8 + 5 + 40x = -13 + -5x + -7 Combine like terms: 8 + 5 = 13 13 + 40x = -13 + -5x + -7 Reorder the terms: 13 + 40x = -13 + -7 + -5x Combine like terms: -13 + -7 = -20 13 + 40x = -20 + -5x Solving 13 + 40x = -20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13 + 40x + 5x = -20 + -5x + 5x Combine like terms: 40x + 5x = 45x 13 + 45x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 45x = -20 + 0 13 + 45x = -20 Add '-13' to each side of the equation. 13 + -13 + 45x = -20 + -13 Combine like terms: 13 + -13 = 0 0 + 45x = -20 + -13 45x = -20 + -13 Combine like terms: -20 + -13 = -33 45x = -33 Divide each side by '45'. x = -0.7333333333 Simplifying x = -0.7333333333
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