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Simplifying 2(5x + 1) + 6(x + -3) = 0 Reorder the terms: 2(1 + 5x) + 6(x + -3) = 0 (1 * 2 + 5x * 2) + 6(x + -3) = 0 (2 + 10x) + 6(x + -3) = 0 Reorder the terms: 2 + 10x + 6(-3 + x) = 0 2 + 10x + (-3 * 6 + x * 6) = 0 2 + 10x + (-18 + 6x) = 0 Reorder the terms: 2 + -18 + 10x + 6x = 0 Combine like terms: 2 + -18 = -16 -16 + 10x + 6x = 0 Combine like terms: 10x + 6x = 16x -16 + 16x = 0 Solving -16 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 16x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 16x = 0 + 16 16x = 0 + 16 Combine like terms: 0 + 16 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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