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Simplifying 3(x + 2) + 0.4(x + -5) = 10 Reorder the terms: 3(2 + x) + 0.4(x + -5) = 10 (2 * 3 + x * 3) + 0.4(x + -5) = 10 (6 + 3x) + 0.4(x + -5) = 10 Reorder the terms: 6 + 3x + 0.4(-5 + x) = 10 6 + 3x + (-5 * 0.4 + x * 0.4) = 10 6 + 3x + (-2 + 0.4x) = 10 Reorder the terms: 6 + -2 + 3x + 0.4x = 10 Combine like terms: 6 + -2 = 4 4 + 3x + 0.4x = 10 Combine like terms: 3x + 0.4x = 3.4x 4 + 3.4x = 10 Solving 4 + 3.4x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3.4x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 3.4x = 10 + -4 3.4x = 10 + -4 Combine like terms: 10 + -4 = 6 3.4x = 6 Divide each side by '3.4'. x = 1.764705882 Simplifying x = 1.764705882
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