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Simplifying 0.33[12x + -15] = 3x + 9 Reorder the terms: 0.33[-15 + 12x] = 3x + 9 [-15 * 0.33 + 12x * 0.33] = 3x + 9 [-4.95 + 3.96x] = 3x + 9 Reorder the terms: -4.95 + 3.96x = 9 + 3x Solving -4.95 + 3.96x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4.95 + 3.96x + -3x = 9 + 3x + -3x Combine like terms: 3.96x + -3x = 0.96x -4.95 + 0.96x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -4.95 + 0.96x = 9 + 0 -4.95 + 0.96x = 9 Add '4.95' to each side of the equation. -4.95 + 4.95 + 0.96x = 9 + 4.95 Combine like terms: -4.95 + 4.95 = 0.00 0.00 + 0.96x = 9 + 4.95 0.96x = 9 + 4.95 Combine like terms: 9 + 4.95 = 13.95 0.96x = 13.95 Divide each side by '0.96'. x = 14.53125 Simplifying x = 14.53125
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