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Simplifying 0.75x + 5 = 0.5(x + -8) Reorder the terms: 5 + 0.75x = 0.5(x + -8) Reorder the terms: 5 + 0.75x = 0.5(-8 + x) 5 + 0.75x = (-8 * 0.5 + x * 0.5) 5 + 0.75x = (-4 + 0.5x) Solving 5 + 0.75x = -4 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 5 + 0.75x + -0.5x = -4 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x 5 + 0.25x = -4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5 + 0.25x = -4 + 0.0 5 + 0.25x = -4 Add '-5' to each side of the equation. 5 + -5 + 0.25x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 0.25x = -4 + -5 0.25x = -4 + -5 Combine like terms: -4 + -5 = -9 0.25x = -9 Divide each side by '0.25'. x = -36 Simplifying x = -36
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