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Simplifying 1.5x + 30 = 3x + 12 Reorder the terms: 30 + 1.5x = 3x + 12 Reorder the terms: 30 + 1.5x = 12 + 3x Solving 30 + 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. 30 + 1.5x + -3x = 12 + 3x + -3x Combine like terms: 1.5x + -3x = -1.5x 30 + -1.5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -1.5x = 12 + 0 30 + -1.5x = 12 Add '-30' to each side of the equation. 30 + -30 + -1.5x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -1.5x = 12 + -30 -1.5x = 12 + -30 Combine like terms: 12 + -30 = -18 -1.5x = -18 Divide each side by '-1.5'. x = 12 Simplifying x = 12
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