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Simplifying -2(1 + 2x) + 3(6x + -2) + -6(5 + -4x) = 0 (1 * -2 + 2x * -2) + 3(6x + -2) + -6(5 + -4x) = 0 (-2 + -4x) + 3(6x + -2) + -6(5 + -4x) = 0 Reorder the terms: -2 + -4x + 3(-2 + 6x) + -6(5 + -4x) = 0 -2 + -4x + (-2 * 3 + 6x * 3) + -6(5 + -4x) = 0 -2 + -4x + (-6 + 18x) + -6(5 + -4x) = 0 -2 + -4x + -6 + 18x + (5 * -6 + -4x * -6) = 0 -2 + -4x + -6 + 18x + (-30 + 24x) = 0 Reorder the terms: -2 + -6 + -30 + -4x + 18x + 24x = 0 Combine like terms: -2 + -6 = -8 -8 + -30 + -4x + 18x + 24x = 0 Combine like terms: -8 + -30 = -38 -38 + -4x + 18x + 24x = 0 Combine like terms: -4x + 18x = 14x -38 + 14x + 24x = 0 Combine like terms: 14x + 24x = 38x -38 + 38x = 0 Solving -38 + 38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 38x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 38x = 0 + 38 38x = 0 + 38 Combine like terms: 0 + 38 = 38 38x = 38 Divide each side by '38'. x = 1 Simplifying x = 1
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