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Simplifying 6x + 5 = -100 + -9x Reorder the terms: 5 + 6x = -100 + -9x Solving 5 + 6x = -100 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + 6x + 9x = -100 + -9x + 9x Combine like terms: 6x + 9x = 15x 5 + 15x = -100 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + 15x = -100 + 0 5 + 15x = -100 Add '-5' to each side of the equation. 5 + -5 + 15x = -100 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = -100 + -5 15x = -100 + -5 Combine like terms: -100 + -5 = -105 15x = -105 Divide each side by '15'. x = -7 Simplifying x = -7
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