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Simplifying -6 = 7(2x + -4) + 8 Reorder the terms: -6 = 7(-4 + 2x) + 8 -6 = (-4 * 7 + 2x * 7) + 8 -6 = (-28 + 14x) + 8 Reorder the terms: -6 = -28 + 8 + 14x Combine like terms: -28 + 8 = -20 -6 = -20 + 14x Solving -6 = -20 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + -14x = -20 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -14x = -20 + 0 -6 + -14x = -20 Add '6' to each side of the equation. -6 + 6 + -14x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = -20 + 6 -14x = -20 + 6 Combine like terms: -20 + 6 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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