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