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Simplifying 0.25(x + 3) + -0.2(x + -3) = 2 Reorder the terms: 0.25(3 + x) + -0.2(x + -3) = 2 (3 * 0.25 + x * 0.25) + -0.2(x + -3) = 2 (0.75 + 0.25x) + -0.2(x + -3) = 2 Reorder the terms: 0.75 + 0.25x + -0.2(-3 + x) = 2 0.75 + 0.25x + (-3 * -0.2 + x * -0.2) = 2 0.75 + 0.25x + (0.6 + -0.2x) = 2 Reorder the terms: 0.75 + 0.6 + 0.25x + -0.2x = 2 Combine like terms: 0.75 + 0.6 = 1.35 1.35 + 0.25x + -0.2x = 2 Combine like terms: 0.25x + -0.2x = 0.05x 1.35 + 0.05x = 2 Solving 1.35 + 0.05x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.35' to each side of the equation. 1.35 + -1.35 + 0.05x = 2 + -1.35 Combine like terms: 1.35 + -1.35 = 0.00 0.00 + 0.05x = 2 + -1.35 0.05x = 2 + -1.35 Combine like terms: 2 + -1.35 = 0.65 0.05x = 0.65 Divide each side by '0.05'. x = 13 Simplifying x = 13
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