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Simplifying 1.5x + 9 = 3x + -3 Reorder the terms: 9 + 1.5x = 3x + -3 Reorder the terms: 9 + 1.5x = -3 + 3x Solving 9 + 1.5x = -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. 9 + 1.5x + -3x = -3 + 3x + -3x Combine like terms: 1.5x + -3x = -1.5x 9 + -1.5x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -1.5x = -3 + 0 9 + -1.5x = -3 Add '-9' to each side of the equation. 9 + -9 + -1.5x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -1.5x = -3 + -9 -1.5x = -3 + -9 Combine like terms: -3 + -9 = -12 -1.5x = -12 Divide each side by '-1.5'. x = 8 Simplifying x = 8
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