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Simplifying 0.75(9x + 2) = 15x Reorder the terms: 0.75(2 + 9x) = 15x (2 * 0.75 + 9x * 0.75) = 15x (1.5 + 6.75x) = 15x Solving 1.5 + 6.75x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 1.5 + 6.75x + -15x = 15x + -15x Combine like terms: 6.75x + -15x = -8.25x 1.5 + -8.25x = 15x + -15x Combine like terms: 15x + -15x = 0 1.5 + -8.25x = 0 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -8.25x = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -8.25x = 0 + -1.5 -8.25x = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -8.25x = -1.5 Divide each side by '-8.25'. x = 0.1818181818 Simplifying x = 0.1818181818
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