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Simplifying 4x + 12 = -100 + -10x Reorder the terms: 12 + 4x = -100 + -10x Solving 12 + 4x = -100 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 12 + 4x + 10x = -100 + -10x + 10x Combine like terms: 4x + 10x = 14x 12 + 14x = -100 + -10x + 10x Combine like terms: -10x + 10x = 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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