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Simplifying 6(2x + -5) = 15 + -1(5 + -8x) Reorder the terms: 6(-5 + 2x) = 15 + -1(5 + -8x) (-5 * 6 + 2x * 6) = 15 + -1(5 + -8x) (-30 + 12x) = 15 + -1(5 + -8x) -30 + 12x = 15 + (5 * -1 + -8x * -1) -30 + 12x = 15 + (-5 + 8x) Combine like terms: 15 + -5 = 10 -30 + 12x = 10 + 8x Solving -30 + 12x = 10 + 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 + 12x + -8x = 10 + 8x + -8x Combine like terms: 12x + -8x = 4x -30 + 4x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + 4x = 10 + 0 -30 + 4x = 10 Add '30' to each side of the equation. -30 + 30 + 4x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 10 + 30 4x = 10 + 30 Combine like terms: 10 + 30 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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