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Simplifying 2(4x + -9) = 6x + -2 Reorder the terms: 2(-9 + 4x) = 6x + -2 (-9 * 2 + 4x * 2) = 6x + -2 (-18 + 8x) = 6x + -2 Reorder the terms: -18 + 8x = -2 + 6x Solving -18 + 8x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 8x + -6x = -2 + 6x + -6x Combine like terms: 8x + -6x = 2x -18 + 2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 2x = -2 + 0 -18 + 2x = -2 Add '18' to each side of the equation. -18 + 18 + 2x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -2 + 18 2x = -2 + 18 Combine like terms: -2 + 18 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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