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Simplifying -6(x + 2) + 3(8x + -2) = 0 Reorder the terms: -6(2 + x) + 3(8x + -2) = 0 (2 * -6 + x * -6) + 3(8x + -2) = 0 (-12 + -6x) + 3(8x + -2) = 0 Reorder the terms: -12 + -6x + 3(-2 + 8x) = 0 -12 + -6x + (-2 * 3 + 8x * 3) = 0 -12 + -6x + (-6 + 24x) = 0 Reorder the terms: -12 + -6 + -6x + 24x = 0 Combine like terms: -12 + -6 = -18 -18 + -6x + 24x = 0 Combine like terms: -6x + 24x = 18x -18 + 18x = 0 Solving -18 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 18x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 18x = 0 + 18 18x = 0 + 18 Combine like terms: 0 + 18 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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