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Simplifying 0.5(8x + -29) = (10x + 50) Reorder the terms: 0.5(-29 + 8x) = (10x + 50) (-29 * 0.5 + 8x * 0.5) = (10x + 50) (-14.5 + 4x) = (10x + 50) Reorder the terms: -14.5 + 4x = (50 + 10x) Remove parenthesis around (50 + 10x) -14.5 + 4x = 50 + 10x Solving -14.5 + 4x = 50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14.5 + 4x + -10x = 50 + 10x + -10x Combine like terms: 4x + -10x = -6x -14.5 + -6x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -14.5 + -6x = 50 + 0 -14.5 + -6x = 50 Add '14.5' to each side of the equation. -14.5 + 14.5 + -6x = 50 + 14.5 Combine like terms: -14.5 + 14.5 = 0.0 0.0 + -6x = 50 + 14.5 -6x = 50 + 14.5 Combine like terms: 50 + 14.5 = 64.5 -6x = 64.5 Divide each side by '-6'. x = -10.75 Simplifying x = -10.75
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