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Simplifying 1.3[5x + 3] = 3.8x + 9.3 Reorder the terms: 1.3[3 + 5x] = 3.8x + 9.3 [3 * 1.3 + 5x * 1.3] = 3.8x + 9.3 [3.9 + 6.5x] = 3.8x + 9.3 Reorder the terms: 3.9 + 6.5x = 9.3 + 3.8x Solving 3.9 + 6.5x = 9.3 + 3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8x' to each side of the equation. 3.9 + 6.5x + -3.8x = 9.3 + 3.8x + -3.8x Combine like terms: 6.5x + -3.8x = 2.7x 3.9 + 2.7x = 9.3 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 3.9 + 2.7x = 9.3 + 0.0 3.9 + 2.7x = 9.3 Add '-3.9' to each side of the equation. 3.9 + -3.9 + 2.7x = 9.3 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + 2.7x = 9.3 + -3.9 2.7x = 9.3 + -3.9 Combine like terms: 9.3 + -3.9 = 5.4 2.7x = 5.4 Divide each side by '2.7'. x = 2 Simplifying x = 2
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