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