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Simplifying 2x + 6 = 2 + -7(x + -7) Reorder the terms: 6 + 2x = 2 + -7(x + -7) Reorder the terms: 6 + 2x = 2 + -7(-7 + x) 6 + 2x = 2 + (-7 * -7 + x * -7) 6 + 2x = 2 + (49 + -7x) Combine like terms: 2 + 49 = 51 6 + 2x = 51 + -7x Solving 6 + 2x = 51 + -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. 6 + 2x + 7x = 51 + -7x + 7x Combine like terms: 2x + 7x = 9x 6 + 9x = 51 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 9x = 51 + 0 6 + 9x = 51 Add '-6' to each side of the equation. 6 + -6 + 9x = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 51 + -6 9x = 51 + -6 Combine like terms: 51 + -6 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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