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Simplifying 1.5x + (-3) = 3x + -6 1.5x + -3 = 3x + -6 Reorder the terms: -3 + 1.5x = 3x + -6 Reorder the terms: -3 + 1.5x = -6 + 3x Solving -3 + 1.5x = -6 + 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. -3 + 1.5x + -3x = -6 + 3x + -3x Combine like terms: 1.5x + -3x = -1.5x -3 + -1.5x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -1.5x = -6 + 0 -3 + -1.5x = -6 Add '3' to each side of the equation. -3 + 3 + -1.5x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + -1.5x = -6 + 3 -1.5x = -6 + 3 Combine like terms: -6 + 3 = -3 -1.5x = -3 Divide each side by '-1.5'. x = 2 Simplifying x = 2
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