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Simplifying 18(3X + -4) + 18X = 18(3X + 4) + 18 Reorder the terms: 18(-4 + 3X) + 18X = 18(3X + 4) + 18 (-4 * 18 + 3X * 18) + 18X = 18(3X + 4) + 18 (-72 + 54X) + 18X = 18(3X + 4) + 18 Combine like terms: 54X + 18X = 72X -72 + 72X = 18(3X + 4) + 18 Reorder the terms: -72 + 72X = 18(4 + 3X) + 18 -72 + 72X = (4 * 18 + 3X * 18) + 18 -72 + 72X = (72 + 54X) + 18 Reorder the terms: -72 + 72X = 72 + 18 + 54X Combine like terms: 72 + 18 = 90 -72 + 72X = 90 + 54X Solving -72 + 72X = 90 + 54X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-54X' to each side of the equation. -72 + 72X + -54X = 90 + 54X + -54X Combine like terms: 72X + -54X = 18X -72 + 18X = 90 + 54X + -54X Combine like terms: 54X + -54X = 0 -72 + 18X = 90 + 0 -72 + 18X = 90 Add '72' to each side of the equation. -72 + 72 + 18X = 90 + 72 Combine like terms: -72 + 72 = 0 0 + 18X = 90 + 72 18X = 90 + 72 Combine like terms: 90 + 72 = 162 18X = 162 Divide each side by '18'. X = 9 Simplifying X = 9
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