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Simplifying 2(4x + 1) + 6(x + -2) = 0 Reorder the terms: 2(1 + 4x) + 6(x + -2) = 0 (1 * 2 + 4x * 2) + 6(x + -2) = 0 (2 + 8x) + 6(x + -2) = 0 Reorder the terms: 2 + 8x + 6(-2 + x) = 0 2 + 8x + (-2 * 6 + x * 6) = 0 2 + 8x + (-12 + 6x) = 0 Reorder the terms: 2 + -12 + 8x + 6x = 0 Combine like terms: 2 + -12 = -10 -10 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x -10 + 14x = 0 Solving -10 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 14x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 14x = 0 + 10 14x = 0 + 10 Combine like terms: 0 + 10 = 10 14x = 10 Divide each side by '14'. x = 0.7142857143 Simplifying x = 0.7142857143
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