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Simplifying 0.5(3x + 2) + -0.2(x + 6) = 5 Reorder the terms: 0.5(2 + 3x) + -0.2(x + 6) = 5 (2 * 0.5 + 3x * 0.5) + -0.2(x + 6) = 5 (1 + 1.5x) + -0.2(x + 6) = 5 Reorder the terms: 1 + 1.5x + -0.2(6 + x) = 5 1 + 1.5x + (6 * -0.2 + x * -0.2) = 5 1 + 1.5x + (-1.2 + -0.2x) = 5 Reorder the terms: 1 + -1.2 + 1.5x + -0.2x = 5 Combine like terms: 1 + -1.2 = -0.2 -0.2 + 1.5x + -0.2x = 5 Combine like terms: 1.5x + -0.2x = 1.3x -0.2 + 1.3x = 5 Solving -0.2 + 1.3x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + 1.3x = 5 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 1.3x = 5 + 0.2 1.3x = 5 + 0.2 Combine like terms: 5 + 0.2 = 5.2 1.3x = 5.2 Divide each side by '1.3'. x = 4 Simplifying x = 4
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