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Simplifying 5x + -1(9x + 7) = 6x + -17 Reorder the terms: 5x + -1(7 + 9x) = 6x + -17 5x + (7 * -1 + 9x * -1) = 6x + -17 5x + (-7 + -9x) = 6x + -17 Reorder the terms: -7 + 5x + -9x = 6x + -17 Combine like terms: 5x + -9x = -4x -7 + -4x = 6x + -17 Reorder the terms: -7 + -4x = -17 + 6x Solving -7 + -4x = -17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + -4x + -6x = -17 + 6x + -6x Combine like terms: -4x + -6x = -10x -7 + -10x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -10x = -17 + 0 -7 + -10x = -17 Add '7' to each side of the equation. -7 + 7 + -10x = -17 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = -17 + 7 -10x = -17 + 7 Combine like terms: -17 + 7 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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