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Simplifying 0.75(5x + 2) + -0.2(x + 3) = 2 Reorder the terms: 0.75(2 + 5x) + -0.2(x + 3) = 2 (2 * 0.75 + 5x * 0.75) + -0.2(x + 3) = 2 (1.5 + 3.75x) + -0.2(x + 3) = 2 Reorder the terms: 1.5 + 3.75x + -0.2(3 + x) = 2 1.5 + 3.75x + (3 * -0.2 + x * -0.2) = 2 1.5 + 3.75x + (-0.6 + -0.2x) = 2 Reorder the terms: 1.5 + -0.6 + 3.75x + -0.2x = 2 Combine like terms: 1.5 + -0.6 = 0.9 0.9 + 3.75x + -0.2x = 2 Combine like terms: 3.75x + -0.2x = 3.55x 0.9 + 3.55x = 2 Solving 0.9 + 3.55x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 3.55x = 2 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 3.55x = 2 + -0.9 3.55x = 2 + -0.9 Combine like terms: 2 + -0.9 = 1.1 3.55x = 1.1 Divide each side by '3.55'. x = 0.3098591549 Simplifying x = 0.3098591549
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