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Simplifying 8x + 7 = 5 + -1(x + 7) Reorder the terms: 7 + 8x = 5 + -1(x + 7) Reorder the terms: 7 + 8x = 5 + -1(7 + x) 7 + 8x = 5 + (7 * -1 + x * -1) 7 + 8x = 5 + (-7 + -1x) Combine like terms: 5 + -7 = -2 7 + 8x = -2 + -1x Solving 7 + 8x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + 8x + x = -2 + -1x + x Combine like terms: 8x + x = 9x 7 + 9x = -2 + -1x + x Combine like terms: -1x + x = 0 7 + 9x = -2 + 0 7 + 9x = -2 Add '-7' to each side of the equation. 7 + -7 + 9x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = -2 + -7 9x = -2 + -7 Combine like terms: -2 + -7 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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