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Simplifying 0.75(x + -5) = x + 1 Reorder the terms: 0.75(-5 + x) = x + 1 (-5 * 0.75 + x * 0.75) = x + 1 (-3.75 + 0.75x) = x + 1 Reorder the terms: -3.75 + 0.75x = 1 + x Solving -3.75 + 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. -3.75 + 0.75x + -1x = 1 + x + -1x Combine like terms: 0.75x + -1x = -0.25x -3.75 + -0.25x = 1 + x + -1x Combine like terms: x + -1x = 0 -3.75 + -0.25x = 1 + 0 -3.75 + -0.25x = 1 Add '3.75' to each side of the equation. -3.75 + 3.75 + -0.25x = 1 + 3.75 Combine like terms: -3.75 + 3.75 = 0.00 0.00 + -0.25x = 1 + 3.75 -0.25x = 1 + 3.75 Combine like terms: 1 + 3.75 = 4.75 -0.25x = 4.75 Divide each side by '-0.25'. x = -19 Simplifying x = -19
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