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Simplifying 2(4x + -9) = -5 + 7x Reorder the terms: 2(-9 + 4x) = -5 + 7x (-9 * 2 + 4x * 2) = -5 + 7x (-18 + 8x) = -5 + 7x Solving -18 + 8x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 8x + -7x = -5 + 7x + -7x Combine like terms: 8x + -7x = 1x -18 + 1x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 1x = -5 + 0 -18 + 1x = -5 Add '18' to each side of the equation. -18 + 18 + 1x = -5 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -5 + 18 1x = -5 + 18 Combine like terms: -5 + 18 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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