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Simplifying 8x + -1(6x + 7) = 4x + -17 Reorder the terms: 8x + -1(7 + 6x) = 4x + -17 8x + (7 * -1 + 6x * -1) = 4x + -17 8x + (-7 + -6x) = 4x + -17 Reorder the terms: -7 + 8x + -6x = 4x + -17 Combine like terms: 8x + -6x = 2x -7 + 2x = 4x + -17 Reorder the terms: -7 + 2x = -17 + 4x Solving -7 + 2x = -17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 2x + -4x = -17 + 4x + -4x Combine like terms: 2x + -4x = -2x -7 + -2x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -2x = -17 + 0 -7 + -2x = -17 Add '7' to each side of the equation. -7 + 7 + -2x = -17 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -17 + 7 -2x = -17 + 7 Combine like terms: -17 + 7 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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