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Simplifying 3x + -3 = 0.75(2x + 12) Reorder the terms: -3 + 3x = 0.75(2x + 12) Reorder the terms: -3 + 3x = 0.75(12 + 2x) -3 + 3x = (12 * 0.75 + 2x * 0.75) -3 + 3x = (9 + 1.5x) Solving -3 + 3x = 9 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -3 + 3x + -1.5x = 9 + 1.5x + -1.5x Combine like terms: 3x + -1.5x = 1.5x -3 + 1.5x = 9 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -3 + 1.5x = 9 + 0.0 -3 + 1.5x = 9 Add '3' to each side of the equation. -3 + 3 + 1.5x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 1.5x = 9 + 3 1.5x = 9 + 3 Combine like terms: 9 + 3 = 12 1.5x = 12 Divide each side by '1.5'. x = 8 Simplifying x = 8
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