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Simplifying 0.75(5x + -3) = 3x + 3 Reorder the terms: 0.75(-3 + 5x) = 3x + 3 (-3 * 0.75 + 5x * 0.75) = 3x + 3 (-2.25 + 3.75x) = 3x + 3 Reorder the terms: -2.25 + 3.75x = 3 + 3x Solving -2.25 + 3.75x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2.25 + 3.75x + -3x = 3 + 3x + -3x Combine like terms: 3.75x + -3x = 0.75x -2.25 + 0.75x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -2.25 + 0.75x = 3 + 0 -2.25 + 0.75x = 3 Add '2.25' to each side of the equation. -2.25 + 2.25 + 0.75x = 3 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + 0.75x = 3 + 2.25 0.75x = 3 + 2.25 Combine like terms: 3 + 2.25 = 5.25 0.75x = 5.25 Divide each side by '0.75'. x = 7 Simplifying x = 7
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