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Simplifying 2(4x + -9) = (x + -4) Reorder the terms: 2(-9 + 4x) = (x + -4) (-9 * 2 + 4x * 2) = (x + -4) (-18 + 8x) = (x + -4) Reorder the terms: -18 + 8x = (-4 + x) Remove parenthesis around (-4 + x) -18 + 8x = -4 + x Solving -18 + 8x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 8x + -1x = -4 + x + -1x Combine like terms: 8x + -1x = 7x -18 + 7x = -4 + x + -1x Combine like terms: x + -1x = 0 -18 + 7x = -4 + 0 -18 + 7x = -4 Add '18' to each side of the equation. -18 + 18 + 7x = -4 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = -4 + 18 7x = -4 + 18 Combine like terms: -4 + 18 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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