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Simplifying 1.5x + 6 = 9x + 12 Reorder the terms: 6 + 1.5x = 9x + 12 Reorder the terms: 6 + 1.5x = 12 + 9x Solving 6 + 1.5x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 6 + 1.5x + -9x = 12 + 9x + -9x Combine like terms: 1.5x + -9x = -7.5x 6 + -7.5x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -7.5x = 12 + 0 6 + -7.5x = 12 Add '-6' to each side of the equation. 6 + -6 + -7.5x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -7.5x = 12 + -6 -7.5x = 12 + -6 Combine like terms: 12 + -6 = 6 -7.5x = 6 Divide each side by '-7.5'. x = -0.8 Simplifying x = -0.8
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