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Simplifying 0.2(x + 10) + 1.2x = 51 Reorder the terms: 0.2(10 + x) + 1.2x = 51 (10 * 0.2 + x * 0.2) + 1.2x = 51 (2 + 0.2x) + 1.2x = 51 Combine like terms: 0.2x + 1.2x = 1.4x 2 + 1.4x = 51 Solving 2 + 1.4x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1.4x = 51 + -2 Combine like terms: 2 + -2 = 0 0 + 1.4x = 51 + -2 1.4x = 51 + -2 Combine like terms: 51 + -2 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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