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Simplifying 6(5x + -18) = 2(4x + 2) Reorder the terms: 6(-18 + 5x) = 2(4x + 2) (-18 * 6 + 5x * 6) = 2(4x + 2) (-108 + 30x) = 2(4x + 2) Reorder the terms: -108 + 30x = 2(2 + 4x) -108 + 30x = (2 * 2 + 4x * 2) -108 + 30x = (4 + 8x) Solving -108 + 30x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -108 + 30x + -8x = 4 + 8x + -8x Combine like terms: 30x + -8x = 22x -108 + 22x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -108 + 22x = 4 + 0 -108 + 22x = 4 Add '108' to each side of the equation. -108 + 108 + 22x = 4 + 108 Combine like terms: -108 + 108 = 0 0 + 22x = 4 + 108 22x = 4 + 108 Combine like terms: 4 + 108 = 112 22x = 112 Divide each side by '22'. x = 5.090909091 Simplifying x = 5.090909091
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