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Simplifying 0.5(x + -4) = 0.75x + 1 Reorder the terms: 0.5(-4 + x) = 0.75x + 1 (-4 * 0.5 + x * 0.5) = 0.75x + 1 (-2 + 0.5x) = 0.75x + 1 Reorder the terms: -2 + 0.5x = 1 + 0.75x Solving -2 + 0.5x = 1 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -2 + 0.5x + -0.75x = 1 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x -2 + -0.25x = 1 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -2 + -0.25x = 1 + 0.00 -2 + -0.25x = 1 Add '2' to each side of the equation. -2 + 2 + -0.25x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -0.25x = 1 + 2 -0.25x = 1 + 2 Combine like terms: 1 + 2 = 3 -0.25x = 3 Divide each side by '-0.25'. x = -12 Simplifying x = -12
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