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Simplifying -6(5 + -3x) = 8x + -7 (5 * -6 + -3x * -6) = 8x + -7 (-30 + 18x) = 8x + -7 Reorder the terms: -30 + 18x = -7 + 8x Solving -30 + 18x = -7 + 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. -30 + 18x + -8x = -7 + 8x + -8x Combine like terms: 18x + -8x = 10x -30 + 10x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + 10x = -7 + 0 -30 + 10x = -7 Add '30' to each side of the equation. -30 + 30 + 10x = -7 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = -7 + 30 10x = -7 + 30 Combine like terms: -7 + 30 = 23 10x = 23 Divide each side by '10'. x = 2.3 Simplifying x = 2.3
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