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Simplifying 1.3(4x + 2) = 5x + 6 Reorder the terms: 1.3(2 + 4x) = 5x + 6 (2 * 1.3 + 4x * 1.3) = 5x + 6 (2.6 + 5.2x) = 5x + 6 Reorder the terms: 2.6 + 5.2x = 6 + 5x Solving 2.6 + 5.2x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2.6 + 5.2x + -5x = 6 + 5x + -5x Combine like terms: 5.2x + -5x = 0.2x 2.6 + 0.2x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 2.6 + 0.2x = 6 + 0 2.6 + 0.2x = 6 Add '-2.6' to each side of the equation. 2.6 + -2.6 + 0.2x = 6 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 0.2x = 6 + -2.6 0.2x = 6 + -2.6 Combine like terms: 6 + -2.6 = 3.4 0.2x = 3.4 Divide each side by '0.2'. x = 17 Simplifying x = 17
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