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Simplifying 0.67x + 3 = 0.33(3x + 15) Reorder the terms: 3 + 0.67x = 0.33(3x + 15) Reorder the terms: 3 + 0.67x = 0.33(15 + 3x) 3 + 0.67x = (15 * 0.33 + 3x * 0.33) 3 + 0.67x = (4.95 + 0.99x) Solving 3 + 0.67x = 4.95 + 0.99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.99x' to each side of the equation. 3 + 0.67x + -0.99x = 4.95 + 0.99x + -0.99x Combine like terms: 0.67x + -0.99x = -0.32x 3 + -0.32x = 4.95 + 0.99x + -0.99x Combine like terms: 0.99x + -0.99x = 0.00 3 + -0.32x = 4.95 + 0.00 3 + -0.32x = 4.95 Add '-3' to each side of the equation. 3 + -3 + -0.32x = 4.95 + -3 Combine like terms: 3 + -3 = 0 0 + -0.32x = 4.95 + -3 -0.32x = 4.95 + -3 Combine like terms: 4.95 + -3 = 1.95 -0.32x = 1.95 Divide each side by '-0.32'. x = -6.09375 Simplifying x = -6.09375
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