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Simplifying -5(2x + 1) = 8 + -2x Reorder the terms: -5(1 + 2x) = 8 + -2x (1 * -5 + 2x * -5) = 8 + -2x (-5 + -10x) = 8 + -2x Solving -5 + -10x = 8 + -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 + -10x + 2x = 8 + -2x + 2x Combine like terms: -10x + 2x = -8x -5 + -8x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + -8x = 8 + 0 -5 + -8x = 8 Add '5' to each side of the equation. -5 + 5 + -8x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 8 + 5 -8x = 8 + 5 Combine like terms: 8 + 5 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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