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Simplifying 2x + -1(5x + 8) = 2x + -13 Reorder the terms: 2x + -1(8 + 5x) = 2x + -13 2x + (8 * -1 + 5x * -1) = 2x + -13 2x + (-8 + -5x) = 2x + -13 Reorder the terms: -8 + 2x + -5x = 2x + -13 Combine like terms: 2x + -5x = -3x -8 + -3x = 2x + -13 Reorder the terms: -8 + -3x = -13 + 2x Solving -8 + -3x = -13 + 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. -8 + -3x + -2x = -13 + 2x + -2x Combine like terms: -3x + -2x = -5x -8 + -5x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -5x = -13 + 0 -8 + -5x = -13 Add '8' to each side of the equation. -8 + 8 + -5x = -13 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = -13 + 8 -5x = -13 + 8 Combine like terms: -13 + 8 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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