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Simplifying 12 + 1.5x = 18 + 0.75x Solving 12 + 1.5x = 18 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 12 + 1.5x + -0.75x = 18 + 0.75x + -0.75x Combine like terms: 1.5x + -0.75x = 0.75x 12 + 0.75x = 18 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 12 + 0.75x = 18 + 0.00 12 + 0.75x = 18 Add '-12' to each side of the equation. 12 + -12 + 0.75x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 0.75x = 18 + -12 0.75x = 18 + -12 Combine like terms: 18 + -12 = 6 0.75x = 6 Divide each side by '0.75'. x = 8 Simplifying x = 8
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