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Simplifying -100 = -6x + 2(7x + -10) Reorder the terms: -100 = -6x + 2(-10 + 7x) -100 = -6x + (-10 * 2 + 7x * 2) -100 = -6x + (-20 + 14x) Reorder the terms: -100 = -20 + -6x + 14x Combine like terms: -6x + 14x = 8x -100 = -20 + 8x Solving -100 = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -100 + -8x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -100 + -8x = -20 + 0 -100 + -8x = -20 Add '100' to each side of the equation. -100 + 100 + -8x = -20 + 100 Combine like terms: -100 + 100 = 0 0 + -8x = -20 + 100 -8x = -20 + 100 Combine like terms: -20 + 100 = 80 -8x = 80 Divide each side by '-8'. x = -10 Simplifying x = -10
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