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Simplifying 1.5x + 15 = 2x + 9 Reorder the terms: 15 + 1.5x = 2x + 9 Reorder the terms: 15 + 1.5x = 9 + 2x Solving 15 + 1.5x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 1.5x + -2x = 9 + 2x + -2x Combine like terms: 1.5x + -2x = -0.5x 15 + -0.5x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -0.5x = 9 + 0 15 + -0.5x = 9 Add '-15' to each side of the equation. 15 + -15 + -0.5x = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -0.5x = 9 + -15 -0.5x = 9 + -15 Combine like terms: 9 + -15 = -6 -0.5x = -6 Divide each side by '-0.5'. x = 12 Simplifying x = 12
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