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Simplifying 3x + -1.5 = 0.5(3x + 9) Reorder the terms: -1.5 + 3x = 0.5(3x + 9) Reorder the terms: -1.5 + 3x = 0.5(9 + 3x) -1.5 + 3x = (9 * 0.5 + 3x * 0.5) -1.5 + 3x = (4.5 + 1.5x) Solving -1.5 + 3x = 4.5 + 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. -1.5 + 3x + -1.5x = 4.5 + 1.5x + -1.5x Combine like terms: 3x + -1.5x = 1.5x -1.5 + 1.5x = 4.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -1.5 + 1.5x = 4.5 + 0.0 -1.5 + 1.5x = 4.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + 1.5x = 4.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1.5x = 4.5 + 1.5 1.5x = 4.5 + 1.5 Combine like terms: 4.5 + 1.5 = 6 1.5x = 6 Divide each side by '1.5'. x = 4 Simplifying x = 4
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