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Simplifying 6(3x + -7) = 30 + 8x Reorder the terms: 6(-7 + 3x) = 30 + 8x (-7 * 6 + 3x * 6) = 30 + 8x (-42 + 18x) = 30 + 8x Solving -42 + 18x = 30 + 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. -42 + 18x + -8x = 30 + 8x + -8x Combine like terms: 18x + -8x = 10x -42 + 10x = 30 + 8x + -8x Combine like terms: 8x + -8x = 0 -42 + 10x = 30 + 0 -42 + 10x = 30 Add '42' to each side of the equation. -42 + 42 + 10x = 30 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = 30 + 42 10x = 30 + 42 Combine like terms: 30 + 42 = 72 10x = 72 Divide each side by '10'. x = 7.2 Simplifying x = 7.2
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