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Simplifying 20(x + -4) = 18(x + 5) Reorder the terms: 20(-4 + x) = 18(x + 5) (-4 * 20 + x * 20) = 18(x + 5) (-80 + 20x) = 18(x + 5) Reorder the terms: -80 + 20x = 18(5 + x) -80 + 20x = (5 * 18 + x * 18) -80 + 20x = (90 + 18x) Solving -80 + 20x = 90 + 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. -80 + 20x + -18x = 90 + 18x + -18x Combine like terms: 20x + -18x = 2x -80 + 2x = 90 + 18x + -18x Combine like terms: 18x + -18x = 0 -80 + 2x = 90 + 0 -80 + 2x = 90 Add '80' to each side of the equation. -80 + 80 + 2x = 90 + 80 Combine like terms: -80 + 80 = 0 0 + 2x = 90 + 80 2x = 90 + 80 Combine like terms: 90 + 80 = 170 2x = 170 Divide each side by '2'. x = 85 Simplifying x = 85
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