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Simplifying 0.75x + -0.50 = x + 1 Reorder the terms: -0.50 + 0.75x = x + 1 Reorder the terms: -0.50 + 0.75x = 1 + x Solving -0.50 + 0.75x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.50 + 0.75x + -1x = 1 + x + -1x Combine like terms: 0.75x + -1x = -0.25x -0.50 + -0.25x = 1 + x + -1x Combine like terms: x + -1x = 0 -0.50 + -0.25x = 1 + 0 -0.50 + -0.25x = 1 Add '0.50' to each side of the equation. -0.50 + 0.50 + -0.25x = 1 + 0.50 Combine like terms: -0.50 + 0.50 = 0.00 0.00 + -0.25x = 1 + 0.50 -0.25x = 1 + 0.50 Combine like terms: 1 + 0.50 = 1.5 -0.25x = 1.5 Divide each side by '-0.25'. x = -6 Simplifying x = -6
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