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Simplifying 6(7x + -2) + -1(2x + -4) = 0 Reorder the terms: 6(-2 + 7x) + -1(2x + -4) = 0 (-2 * 6 + 7x * 6) + -1(2x + -4) = 0 (-12 + 42x) + -1(2x + -4) = 0 Reorder the terms: -12 + 42x + -1(-4 + 2x) = 0 -12 + 42x + (-4 * -1 + 2x * -1) = 0 -12 + 42x + (4 + -2x) = 0 Reorder the terms: -12 + 4 + 42x + -2x = 0 Combine like terms: -12 + 4 = -8 -8 + 42x + -2x = 0 Combine like terms: 42x + -2x = 40x -8 + 40x = 0 Solving -8 + 40x = 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 + 40x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 40x = 0 + 8 40x = 0 + 8 Combine like terms: 0 + 8 = 8 40x = 8 Divide each side by '40'. x = 0.2 Simplifying x = 0.2
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