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Simplifying -4(-2x + 3) + (-6x + 8) = 0 Reorder the terms: -4(3 + -2x) + (-6x + 8) = 0 (3 * -4 + -2x * -4) + (-6x + 8) = 0 (-12 + 8x) + (-6x + 8) = 0 Reorder the terms: -12 + 8x + (8 + -6x) = 0 Remove parenthesis around (8 + -6x) -12 + 8x + 8 + -6x = 0 Reorder the terms: -12 + 8 + 8x + -6x = 0 Combine like terms: -12 + 8 = -4 -4 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x -4 + 2x = 0 Solving -4 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 0 + 4 2x = 0 + 4 Combine like terms: 0 + 4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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