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Simplifying 0.9x + 0 = 0.2(x + 5) + 2 Reorder the terms: 0 + 0.9x = 0.2(x + 5) + 2 Remove the zero: 0.9x = 0.2(x + 5) + 2 Reorder the terms: 0.9x = 0.2(5 + x) + 2 0.9x = (5 * 0.2 + x * 0.2) + 2 0.9x = (1 + 0.2x) + 2 Reorder the terms: 0.9x = 1 + 2 + 0.2x Combine like terms: 1 + 2 = 3 0.9x = 3 + 0.2x Solving 0.9x = 3 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.9x + -0.2x = 3 + 0.2x + -0.2x Combine like terms: 0.9x + -0.2x = 0.7x 0.7x = 3 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.7x = 3 + 0.0 0.7x = 3 Divide each side by '0.7'. x = 4.285714286 Simplifying x = 4.285714286
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