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Simplifying 7x + 2 = 8 + -1(8x + -7) Reorder the terms: 2 + 7x = 8 + -1(8x + -7) Reorder the terms: 2 + 7x = 8 + -1(-7 + 8x) 2 + 7x = 8 + (-7 * -1 + 8x * -1) 2 + 7x = 8 + (7 + -8x) Combine like terms: 8 + 7 = 15 2 + 7x = 15 + -8x Solving 2 + 7x = 15 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 2 + 7x + 8x = 15 + -8x + 8x Combine like terms: 7x + 8x = 15x 2 + 15x = 15 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 15x = 15 + 0 2 + 15x = 15 Add '-2' to each side of the equation. 2 + -2 + 15x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 15x = 15 + -2 15x = 15 + -2 Combine like terms: 15 + -2 = 13 15x = 13 Divide each side by '15'. x = 0.8666666667 Simplifying x = 0.8666666667
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