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Simplifying 100 + -3x = 5x + (6x + -12) Reorder the terms: 100 + -3x = 5x + (-12 + 6x) Remove parenthesis around (-12 + 6x) 100 + -3x = 5x + -12 + 6x Reorder the terms: 100 + -3x = -12 + 5x + 6x Combine like terms: 5x + 6x = 11x 100 + -3x = -12 + 11x Solving 100 + -3x = -12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 100 + -3x + -11x = -12 + 11x + -11x Combine like terms: -3x + -11x = -14x 100 + -14x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 100 + -14x = -12 + 0 100 + -14x = -12 Add '-100' to each side of the equation. 100 + -100 + -14x = -12 + -100 Combine like terms: 100 + -100 = 0 0 + -14x = -12 + -100 -14x = -12 + -100 Combine like terms: -12 + -100 = -112 -14x = -112 Divide each side by '-14'. x = 8 Simplifying x = 8
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