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Simplifying 6(3x + -7) + 2(5 + -1x) = 0 Reorder the terms: 6(-7 + 3x) + 2(5 + -1x) = 0 (-7 * 6 + 3x * 6) + 2(5 + -1x) = 0 (-42 + 18x) + 2(5 + -1x) = 0 -42 + 18x + (5 * 2 + -1x * 2) = 0 -42 + 18x + (10 + -2x) = 0 Reorder the terms: -42 + 10 + 18x + -2x = 0 Combine like terms: -42 + 10 = -32 -32 + 18x + -2x = 0 Combine like terms: 18x + -2x = 16x -32 + 16x = 0 Solving -32 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 16x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = 0 + 32 16x = 0 + 32 Combine like terms: 0 + 32 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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