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Simplifying 8(x + 10) + 3 = -5(x + -4) + -11 Reorder the terms: 8(10 + x) + 3 = -5(x + -4) + -11 (10 * 8 + x * 8) + 3 = -5(x + -4) + -11 (80 + 8x) + 3 = -5(x + -4) + -11 Reorder the terms: 80 + 3 + 8x = -5(x + -4) + -11 Combine like terms: 80 + 3 = 83 83 + 8x = -5(x + -4) + -11 Reorder the terms: 83 + 8x = -5(-4 + x) + -11 83 + 8x = (-4 * -5 + x * -5) + -11 83 + 8x = (20 + -5x) + -11 Reorder the terms: 83 + 8x = 20 + -11 + -5x Combine like terms: 20 + -11 = 9 83 + 8x = 9 + -5x Solving 83 + 8x = 9 + -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. 83 + 8x + 5x = 9 + -5x + 5x Combine like terms: 8x + 5x = 13x 83 + 13x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 83 + 13x = 9 + 0 83 + 13x = 9 Add '-83' to each side of the equation. 83 + -83 + 13x = 9 + -83 Combine like terms: 83 + -83 = 0 0 + 13x = 9 + -83 13x = 9 + -83 Combine like terms: 9 + -83 = -74 13x = -74 Divide each side by '13'. x = -5.692307692 Simplifying x = -5.692307692
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