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Simplifying -2(3x + -4) + 7x + -6 = 0 Reorder the terms: -2(-4 + 3x) + 7x + -6 = 0 (-4 * -2 + 3x * -2) + 7x + -6 = 0 (8 + -6x) + 7x + -6 = 0 Reorder the terms: 8 + -6 + -6x + 7x = 0 Combine like terms: 8 + -6 = 2 2 + -6x + 7x = 0 Combine like terms: -6x + 7x = 1x 2 + 1x = 0 Solving 2 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 0 + -2 1x = 0 + -2 Combine like terms: 0 + -2 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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