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Simplifying 4x + -12(x + -2) + 38(x + -1) = 0 Reorder the terms: 4x + -12(-2 + x) + 38(x + -1) = 0 4x + (-2 * -12 + x * -12) + 38(x + -1) = 0 4x + (24 + -12x) + 38(x + -1) = 0 Reorder the terms: 4x + 24 + -12x + 38(-1 + x) = 0 4x + 24 + -12x + (-1 * 38 + x * 38) = 0 4x + 24 + -12x + (-38 + 38x) = 0 Reorder the terms: 24 + -38 + 4x + -12x + 38x = 0 Combine like terms: 24 + -38 = -14 -14 + 4x + -12x + 38x = 0 Combine like terms: 4x + -12x = -8x -14 + -8x + 38x = 0 Combine like terms: -8x + 38x = 30x -14 + 30x = 0 Solving -14 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 30x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 30x = 0 + 14 30x = 0 + 14 Combine like terms: 0 + 14 = 14 30x = 14 Divide each side by '30'. x = 0.4666666667 Simplifying x = 0.4666666667
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