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Simplifying 8x + 6(3x + -5) = -1 + -3x Reorder the terms: 8x + 6(-5 + 3x) = -1 + -3x 8x + (-5 * 6 + 3x * 6) = -1 + -3x 8x + (-30 + 18x) = -1 + -3x Reorder the terms: -30 + 8x + 18x = -1 + -3x Combine like terms: 8x + 18x = 26x -30 + 26x = -1 + -3x Solving -30 + 26x = -1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 26x + 3x = -1 + -3x + 3x Combine like terms: 26x + 3x = 29x -30 + 29x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 29x = -1 + 0 -30 + 29x = -1 Add '30' to each side of the equation. -30 + 30 + 29x = -1 + 30 Combine like terms: -30 + 30 = 0 0 + 29x = -1 + 30 29x = -1 + 30 Combine like terms: -1 + 30 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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