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Simplifying -5(2x + 1) = -6 + -8x Reorder the terms: -5(1 + 2x) = -6 + -8x (1 * -5 + 2x * -5) = -6 + -8x (-5 + -10x) = -6 + -8x Solving -5 + -10x = -6 + -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. -5 + -10x + 8x = -6 + -8x + 8x Combine like terms: -10x + 8x = -2x -5 + -2x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + -2x = -6 + 0 -5 + -2x = -6 Add '5' to each side of the equation. -5 + 5 + -2x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -6 + 5 -2x = -6 + 5 Combine like terms: -6 + 5 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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