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Simplifying 3(2x + -7) + 6(10x + 5) = 0 Reorder the terms: 3(-7 + 2x) + 6(10x + 5) = 0 (-7 * 3 + 2x * 3) + 6(10x + 5) = 0 (-21 + 6x) + 6(10x + 5) = 0 Reorder the terms: -21 + 6x + 6(5 + 10x) = 0 -21 + 6x + (5 * 6 + 10x * 6) = 0 -21 + 6x + (30 + 60x) = 0 Reorder the terms: -21 + 30 + 6x + 60x = 0 Combine like terms: -21 + 30 = 9 9 + 6x + 60x = 0 Combine like terms: 6x + 60x = 66x 9 + 66x = 0 Solving 9 + 66x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 66x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 66x = 0 + -9 66x = 0 + -9 Combine like terms: 0 + -9 = -9 66x = -9 Divide each side by '66'. x = -0.1363636364 Simplifying x = -0.1363636364
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