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Simplifying 8(x + 5) + 2 = -6(x + -2) + -11 Reorder the terms: 8(5 + x) + 2 = -6(x + -2) + -11 (5 * 8 + x * 8) + 2 = -6(x + -2) + -11 (40 + 8x) + 2 = -6(x + -2) + -11 Reorder the terms: 40 + 2 + 8x = -6(x + -2) + -11 Combine like terms: 40 + 2 = 42 42 + 8x = -6(x + -2) + -11 Reorder the terms: 42 + 8x = -6(-2 + x) + -11 42 + 8x = (-2 * -6 + x * -6) + -11 42 + 8x = (12 + -6x) + -11 Reorder the terms: 42 + 8x = 12 + -11 + -6x Combine like terms: 12 + -11 = 1 42 + 8x = 1 + -6x Solving 42 + 8x = 1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 42 + 8x + 6x = 1 + -6x + 6x Combine like terms: 8x + 6x = 14x 42 + 14x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 42 + 14x = 1 + 0 42 + 14x = 1 Add '-42' to each side of the equation. 42 + -42 + 14x = 1 + -42 Combine like terms: 42 + -42 = 0 0 + 14x = 1 + -42 14x = 1 + -42 Combine like terms: 1 + -42 = -41 14x = -41 Divide each side by '14'. x = -2.928571429 Simplifying x = -2.928571429
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