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Simplifying 0.4(10x + 16) = 4.5(0.2x + 5) Reorder the terms: 0.4(16 + 10x) = 4.5(0.2x + 5) (16 * 0.4 + 10x * 0.4) = 4.5(0.2x + 5) (6.4 + 4x) = 4.5(0.2x + 5) Reorder the terms: 6.4 + 4x = 4.5(5 + 0.2x) 6.4 + 4x = (5 * 4.5 + 0.2x * 4.5) 6.4 + 4x = (22.5 + 0.9x) Solving 6.4 + 4x = 22.5 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 6.4 + 4x + -0.9x = 22.5 + 0.9x + -0.9x Combine like terms: 4x + -0.9x = 3.1x 6.4 + 3.1x = 22.5 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 6.4 + 3.1x = 22.5 + 0.0 6.4 + 3.1x = 22.5 Add '-6.4' to each side of the equation. 6.4 + -6.4 + 3.1x = 22.5 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 3.1x = 22.5 + -6.4 3.1x = 22.5 + -6.4 Combine like terms: 22.5 + -6.4 = 16.1 3.1x = 16.1 Divide each side by '3.1'. x = 5.193548387 Simplifying x = 5.193548387
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