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Simplifying 2(x + -2) + 3(4x + -1) = 0 Reorder the terms: 2(-2 + x) + 3(4x + -1) = 0 (-2 * 2 + x * 2) + 3(4x + -1) = 0 (-4 + 2x) + 3(4x + -1) = 0 Reorder the terms: -4 + 2x + 3(-1 + 4x) = 0 -4 + 2x + (-1 * 3 + 4x * 3) = 0 -4 + 2x + (-3 + 12x) = 0 Reorder the terms: -4 + -3 + 2x + 12x = 0 Combine like terms: -4 + -3 = -7 -7 + 2x + 12x = 0 Combine like terms: 2x + 12x = 14x -7 + 14x = 0 Solving -7 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 14x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 0 + 7 14x = 0 + 7 Combine like terms: 0 + 7 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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