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Simplifying 8x + -1(5x + 6) = 5x + -28 Reorder the terms: 8x + -1(6 + 5x) = 5x + -28 8x + (6 * -1 + 5x * -1) = 5x + -28 8x + (-6 + -5x) = 5x + -28 Reorder the terms: -6 + 8x + -5x = 5x + -28 Combine like terms: 8x + -5x = 3x -6 + 3x = 5x + -28 Reorder the terms: -6 + 3x = -28 + 5x Solving -6 + 3x = -28 + 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. -6 + 3x + -5x = -28 + 5x + -5x Combine like terms: 3x + -5x = -2x -6 + -2x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -2x = -28 + 0 -6 + -2x = -28 Add '6' to each side of the equation. -6 + 6 + -2x = -28 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -28 + 6 -2x = -28 + 6 Combine like terms: -28 + 6 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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