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Simplifying 7(x + -7) + 6x = 17 + 2x Reorder the terms: 7(-7 + x) + 6x = 17 + 2x (-7 * 7 + x * 7) + 6x = 17 + 2x (-49 + 7x) + 6x = 17 + 2x Combine like terms: 7x + 6x = 13x -49 + 13x = 17 + 2x Solving -49 + 13x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -49 + 13x + -2x = 17 + 2x + -2x Combine like terms: 13x + -2x = 11x -49 + 11x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -49 + 11x = 17 + 0 -49 + 11x = 17 Add '49' to each side of the equation. -49 + 49 + 11x = 17 + 49 Combine like terms: -49 + 49 = 0 0 + 11x = 17 + 49 11x = 17 + 49 Combine like terms: 17 + 49 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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