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Simplifying 4(5x + -18) = 2(x + 54) Reorder the terms: 4(-18 + 5x) = 2(x + 54) (-18 * 4 + 5x * 4) = 2(x + 54) (-72 + 20x) = 2(x + 54) Reorder the terms: -72 + 20x = 2(54 + x) -72 + 20x = (54 * 2 + x * 2) -72 + 20x = (108 + 2x) Solving -72 + 20x = 108 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -72 + 20x + -2x = 108 + 2x + -2x Combine like terms: 20x + -2x = 18x -72 + 18x = 108 + 2x + -2x Combine like terms: 2x + -2x = 0 -72 + 18x = 108 + 0 -72 + 18x = 108 Add '72' to each side of the equation. -72 + 72 + 18x = 108 + 72 Combine like terms: -72 + 72 = 0 0 + 18x = 108 + 72 18x = 108 + 72 Combine like terms: 108 + 72 = 180 18x = 180 Divide each side by '18'. x = 10 Simplifying x = 10
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