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Simplifying 6x + -1(5x + 5) = 7x + -17 Reorder the terms: 6x + -1(5 + 5x) = 7x + -17 6x + (5 * -1 + 5x * -1) = 7x + -17 6x + (-5 + -5x) = 7x + -17 Reorder the terms: -5 + 6x + -5x = 7x + -17 Combine like terms: 6x + -5x = 1x -5 + 1x = 7x + -17 Reorder the terms: -5 + 1x = -17 + 7x Solving -5 + 1x = -17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 1x + -7x = -17 + 7x + -7x Combine like terms: 1x + -7x = -6x -5 + -6x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -6x = -17 + 0 -5 + -6x = -17 Add '5' to each side of the equation. -5 + 5 + -6x = -17 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -17 + 5 -6x = -17 + 5 Combine like terms: -17 + 5 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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