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Simplifying 1.5x + 4.2 = 3x + 12 Reorder the terms: 4.2 + 1.5x = 3x + 12 Reorder the terms: 4.2 + 1.5x = 12 + 3x Solving 4.2 + 1.5x = 12 + 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. 4.2 + 1.5x + -3x = 12 + 3x + -3x Combine like terms: 1.5x + -3x = -1.5x 4.2 + -1.5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 4.2 + -1.5x = 12 + 0 4.2 + -1.5x = 12 Add '-4.2' to each side of the equation. 4.2 + -4.2 + -1.5x = 12 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -1.5x = 12 + -4.2 -1.5x = 12 + -4.2 Combine like terms: 12 + -4.2 = 7.8 -1.5x = 7.8 Divide each side by '-1.5'. x = -5.2 Simplifying x = -5.2
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