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Simplifying 2(x + 3) + -1(4 + -5x) = 6 Reorder the terms: 2(3 + x) + -1(4 + -5x) = 6 (3 * 2 + x * 2) + -1(4 + -5x) = 6 (6 + 2x) + -1(4 + -5x) = 6 6 + 2x + (4 * -1 + -5x * -1) = 6 6 + 2x + (-4 + 5x) = 6 Reorder the terms: 6 + -4 + 2x + 5x = 6 Combine like terms: 6 + -4 = 2 2 + 2x + 5x = 6 Combine like terms: 2x + 5x = 7x 2 + 7x = 6 Solving 2 + 7x = 6 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 + 7x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 6 + -2 7x = 6 + -2 Combine like terms: 6 + -2 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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