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Simplifying 0.75(x + -4) = 0.33(x + 1) Reorder the terms: 0.75(-4 + x) = 0.33(x + 1) (-4 * 0.75 + x * 0.75) = 0.33(x + 1) (-3 + 0.75x) = 0.33(x + 1) Reorder the terms: -3 + 0.75x = 0.33(1 + x) -3 + 0.75x = (1 * 0.33 + x * 0.33) -3 + 0.75x = (0.33 + 0.33x) Solving -3 + 0.75x = 0.33 + 0.33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.33x' to each side of the equation. -3 + 0.75x + -0.33x = 0.33 + 0.33x + -0.33x Combine like terms: 0.75x + -0.33x = 0.42x -3 + 0.42x = 0.33 + 0.33x + -0.33x Combine like terms: 0.33x + -0.33x = 0.00 -3 + 0.42x = 0.33 + 0.00 -3 + 0.42x = 0.33 Add '3' to each side of the equation. -3 + 3 + 0.42x = 0.33 + 3 Combine like terms: -3 + 3 = 0 0 + 0.42x = 0.33 + 3 0.42x = 0.33 + 3 Combine like terms: 0.33 + 3 = 3.33 0.42x = 3.33 Divide each side by '0.42'. x = 7.928571429 Simplifying x = 7.928571429
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