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Simplifying 5(-1 + 8x) = 1(19 + -8x) (-1 * 5 + 8x * 5) = 1(19 + -8x) (-5 + 40x) = 1(19 + -8x) -5 + 40x = (19 * 1 + -8x * 1) -5 + 40x = (19 + -8x) Solving -5 + 40x = 19 + -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 + 40x + 8x = 19 + -8x + 8x Combine like terms: 40x + 8x = 48x -5 + 48x = 19 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 48x = 19 + 0 -5 + 48x = 19 Add '5' to each side of the equation. -5 + 5 + 48x = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 48x = 19 + 5 48x = 19 + 5 Combine like terms: 19 + 5 = 24 48x = 24 Divide each side by '48'. x = 0.5 Simplifying x = 0.5
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