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Simplifying 2(3x + 1) + -5(x + 2) = 0 Reorder the terms: 2(1 + 3x) + -5(x + 2) = 0 (1 * 2 + 3x * 2) + -5(x + 2) = 0 (2 + 6x) + -5(x + 2) = 0 Reorder the terms: 2 + 6x + -5(2 + x) = 0 2 + 6x + (2 * -5 + x * -5) = 0 2 + 6x + (-10 + -5x) = 0 Reorder the terms: 2 + -10 + 6x + -5x = 0 Combine like terms: 2 + -10 = -8 -8 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x -8 + 1x = 0 Solving -8 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 0 + 8 1x = 0 + 8 Combine like terms: 0 + 8 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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