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Simplifying 18(3X + -4) + 18X = 6(3X + 4) + 18 Reorder the terms: 18(-4 + 3X) + 18X = 6(3X + 4) + 18 (-4 * 18 + 3X * 18) + 18X = 6(3X + 4) + 18 (-72 + 54X) + 18X = 6(3X + 4) + 18 Combine like terms: 54X + 18X = 72X -72 + 72X = 6(3X + 4) + 18 Reorder the terms: -72 + 72X = 6(4 + 3X) + 18 -72 + 72X = (4 * 6 + 3X * 6) + 18 -72 + 72X = (24 + 18X) + 18 Reorder the terms: -72 + 72X = 24 + 18 + 18X Combine like terms: 24 + 18 = 42 -72 + 72X = 42 + 18X Solving -72 + 72X = 42 + 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. -72 + 72X + -18X = 42 + 18X + -18X Combine like terms: 72X + -18X = 54X -72 + 54X = 42 + 18X + -18X Combine like terms: 18X + -18X = 0 -72 + 54X = 42 + 0 -72 + 54X = 42 Add '72' to each side of the equation. -72 + 72 + 54X = 42 + 72 Combine like terms: -72 + 72 = 0 0 + 54X = 42 + 72 54X = 42 + 72 Combine like terms: 42 + 72 = 114 54X = 114 Divide each side by '54'. X = 2.111111111 Simplifying X = 2.111111111
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