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Simplifying 100 = 2x + -2(7x + -14) Reorder the terms: 100 = 2x + -2(-14 + 7x) 100 = 2x + (-14 * -2 + 7x * -2) 100 = 2x + (28 + -14x) Reorder the terms: 100 = 28 + 2x + -14x Combine like terms: 2x + -14x = -12x 100 = 28 + -12x Solving 100 = 28 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 100 + 12x = 28 + -12x + 12x Combine like terms: -12x + 12x = 0 100 + 12x = 28 + 0 100 + 12x = 28 Add '-100' to each side of the equation. 100 + -100 + 12x = 28 + -100 Combine like terms: 100 + -100 = 0 0 + 12x = 28 + -100 12x = 28 + -100 Combine like terms: 28 + -100 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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