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Simplifying 2(4x + -1) + 3(x + -4) = 0 Reorder the terms: 2(-1 + 4x) + 3(x + -4) = 0 (-1 * 2 + 4x * 2) + 3(x + -4) = 0 (-2 + 8x) + 3(x + -4) = 0 Reorder the terms: -2 + 8x + 3(-4 + x) = 0 -2 + 8x + (-4 * 3 + x * 3) = 0 -2 + 8x + (-12 + 3x) = 0 Reorder the terms: -2 + -12 + 8x + 3x = 0 Combine like terms: -2 + -12 = -14 -14 + 8x + 3x = 0 Combine like terms: 8x + 3x = 11x -14 + 11x = 0 Solving -14 + 11x = 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 + 11x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = 0 + 14 11x = 0 + 14 Combine like terms: 0 + 14 = 14 11x = 14 Divide each side by '11'. x = 1.272727273 Simplifying x = 1.272727273
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