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Simplifying (5x + -8) + -5(2x + 1) = 2 Reorder the terms: (-8 + 5x) + -5(2x + 1) = 2 Remove parenthesis around (-8 + 5x) -8 + 5x + -5(2x + 1) = 2 Reorder the terms: -8 + 5x + -5(1 + 2x) = 2 -8 + 5x + (1 * -5 + 2x * -5) = 2 -8 + 5x + (-5 + -10x) = 2 Reorder the terms: -8 + -5 + 5x + -10x = 2 Combine like terms: -8 + -5 = -13 -13 + 5x + -10x = 2 Combine like terms: 5x + -10x = -5x -13 + -5x = 2 Solving -13 + -5x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -5x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 2 + 13 -5x = 2 + 13 Combine like terms: 2 + 13 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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