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Simplifying x + 7 = -8(x + 5) Reorder the terms: 7 + x = -8(x + 5) Reorder the terms: 7 + x = -8(5 + x) 7 + x = (5 * -8 + x * -8) 7 + x = (-40 + -8x) Solving 7 + x = -40 + -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. 7 + x + 8x = -40 + -8x + 8x Combine like terms: x + 8x = 9x 7 + 9x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 9x = -40 + 0 7 + 9x = -40 Add '-7' to each side of the equation. 7 + -7 + 9x = -40 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = -40 + -7 9x = -40 + -7 Combine like terms: -40 + -7 = -47 9x = -47 Divide each side by '9'. x = -5.222222222 Simplifying x = -5.222222222
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