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Simplifying 4(5x + -8) = 2(9x + 6) Reorder the terms: 4(-8 + 5x) = 2(9x + 6) (-8 * 4 + 5x * 4) = 2(9x + 6) (-32 + 20x) = 2(9x + 6) Reorder the terms: -32 + 20x = 2(6 + 9x) -32 + 20x = (6 * 2 + 9x * 2) -32 + 20x = (12 + 18x) Solving -32 + 20x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -32 + 20x + -18x = 12 + 18x + -18x Combine like terms: 20x + -18x = 2x -32 + 2x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 -32 + 2x = 12 + 0 -32 + 2x = 12 Add '32' to each side of the equation. -32 + 32 + 2x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 12 + 32 2x = 12 + 32 Combine like terms: 12 + 32 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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