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Simplifying -5(-2x + 13) + -8 = 2x + 159 Reorder the terms: -5(13 + -2x) + -8 = 2x + 159 (13 * -5 + -2x * -5) + -8 = 2x + 159 (-65 + 10x) + -8 = 2x + 159 Reorder the terms: -65 + -8 + 10x = 2x + 159 Combine like terms: -65 + -8 = -73 -73 + 10x = 2x + 159 Reorder the terms: -73 + 10x = 159 + 2x Solving -73 + 10x = 159 + 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. -73 + 10x + -2x = 159 + 2x + -2x Combine like terms: 10x + -2x = 8x -73 + 8x = 159 + 2x + -2x Combine like terms: 2x + -2x = 0 -73 + 8x = 159 + 0 -73 + 8x = 159 Add '73' to each side of the equation. -73 + 73 + 8x = 159 + 73 Combine like terms: -73 + 73 = 0 0 + 8x = 159 + 73 8x = 159 + 73 Combine like terms: 159 + 73 = 232 8x = 232 Divide each side by '8'. x = 29 Simplifying x = 29
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