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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 = -1 -1 + 2x + -12x = 0 Combine like terms: 2x + -12x = -10x -1 + -10x = 0 Solving -1 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -10x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 0 + 1 -10x = 0 + 1 Combine like terms: 0 + 1 = 1 -10x = 1 Divide each side by '-10'. x = -0.1 Simplifying x = -0.1
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