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Simplifying 5x + 12 = -100 + -9x Reorder the terms: 12 + 5x = -100 + -9x Solving 12 + 5x = -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. 12 + 5x + 9x = -100 + -9x + 9x Combine like terms: 5x + 9x = 14x 12 + 14x = -100 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + 14x = -100 + 0 12 + 14x = -100 Add '-12' to each side of the equation. 12 + -12 + 14x = -100 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = -100 + -12 14x = -100 + -12 Combine like terms: -100 + -12 = -112 14x = -112 Divide each side by '14'. x = -8 Simplifying x = -8
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