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Simplifying 1.5x + -3.0 = 3x + -6 Reorder the terms: -3.0 + 1.5x = 3x + -6 Reorder the terms: -3.0 + 1.5x = -6 + 3x Solving -3.0 + 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. -3.0 + 1.5x + -3x = -6 + 3x + -3x Combine like terms: 1.5x + -3x = -1.5x -3.0 + -1.5x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -3.0 + -1.5x = -6 + 0 -3.0 + -1.5x = -6 Add '3.0' to each side of the equation. -3.0 + 3.0 + -1.5x = -6 + 3.0 Combine like terms: -3.0 + 3.0 = 0.0 0.0 + -1.5x = -6 + 3.0 -1.5x = -6 + 3.0 Combine like terms: -6 + 3.0 = -3 -1.5x = -3 Divide each side by '-1.5'. x = 2 Simplifying x = 2
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