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Simplifying 0.9(5x + 4) = 0.45(x + 7) + -0.93 Reorder the terms: 0.9(4 + 5x) = 0.45(x + 7) + -0.93 (4 * 0.9 + 5x * 0.9) = 0.45(x + 7) + -0.93 (3.6 + 4.5x) = 0.45(x + 7) + -0.93 Reorder the terms: 3.6 + 4.5x = 0.45(7 + x) + -0.93 3.6 + 4.5x = (7 * 0.45 + x * 0.45) + -0.93 3.6 + 4.5x = (3.15 + 0.45x) + -0.93 Reorder the terms: 3.6 + 4.5x = 3.15 + -0.93 + 0.45x Combine like terms: 3.15 + -0.93 = 2.22 3.6 + 4.5x = 2.22 + 0.45x Solving 3.6 + 4.5x = 2.22 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 3.6 + 4.5x + -0.45x = 2.22 + 0.45x + -0.45x Combine like terms: 4.5x + -0.45x = 4.05x 3.6 + 4.05x = 2.22 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 3.6 + 4.05x = 2.22 + 0.00 3.6 + 4.05x = 2.22 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 4.05x = 2.22 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 4.05x = 2.22 + -3.6 4.05x = 2.22 + -3.6 Combine like terms: 2.22 + -3.6 = -1.38 4.05x = -1.38 Divide each side by '4.05'. x = -0.3407407407 Simplifying x = -0.3407407407
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