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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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