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Simplifying 8 + -1(10 + -3x) = 7x + -6(2x + 13) 8 + (10 * -1 + -3x * -1) = 7x + -6(2x + 13) 8 + (-10 + 3x) = 7x + -6(2x + 13) Combine like terms: 8 + -10 = -2 -2 + 3x = 7x + -6(2x + 13) Reorder the terms: -2 + 3x = 7x + -6(13 + 2x) -2 + 3x = 7x + (13 * -6 + 2x * -6) -2 + 3x = 7x + (-78 + -12x) Reorder the terms: -2 + 3x = -78 + 7x + -12x Combine like terms: 7x + -12x = -5x -2 + 3x = -78 + -5x Solving -2 + 3x = -78 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + 3x + 5x = -78 + -5x + 5x Combine like terms: 3x + 5x = 8x -2 + 8x = -78 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 8x = -78 + 0 -2 + 8x = -78 Add '2' to each side of the equation. -2 + 2 + 8x = -78 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = -78 + 2 8x = -78 + 2 Combine like terms: -78 + 2 = -76 8x = -76 Divide each side by '8'. x = -9.5 Simplifying x = -9.5
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