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Simplifying -8x + -5(x + 1) = 2(x + 5) Reorder the terms: -8x + -5(1 + x) = 2(x + 5) -8x + (1 * -5 + x * -5) = 2(x + 5) -8x + (-5 + -5x) = 2(x + 5) Reorder the terms: -5 + -8x + -5x = 2(x + 5) Combine like terms: -8x + -5x = -13x -5 + -13x = 2(x + 5) Reorder the terms: -5 + -13x = 2(5 + x) -5 + -13x = (5 * 2 + x * 2) -5 + -13x = (10 + 2x) Solving -5 + -13x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -13x + -2x = 10 + 2x + -2x Combine like terms: -13x + -2x = -15x -5 + -15x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -15x = 10 + 0 -5 + -15x = 10 Add '5' to each side of the equation. -5 + 5 + -15x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -15x = 10 + 5 -15x = 10 + 5 Combine like terms: 10 + 5 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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