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Simplifying 1.5(x + 8) = 6x Reorder the terms: 1.5(8 + x) = 6x (8 * 1.5 + x * 1.5) = 6x (12 + 1.5x) = 6x Solving 12 + 1.5x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 1.5x + -6x = 6x + -6x Combine like terms: 1.5x + -6x = -4.5x 12 + -4.5x = 6x + -6x Combine like terms: 6x + -6x = 0 12 + -4.5x = 0 Add '-12' to each side of the equation. 12 + -12 + -4.5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4.5x = 0 + -12 -4.5x = 0 + -12 Combine like terms: 0 + -12 = -12 -4.5x = -12 Divide each side by '-4.5'. x = 2.666666667 Simplifying x = 2.666666667
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