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Simplifying -84 = 8(-1 + 2x) + 4 -84 = (-1 * 8 + 2x * 8) + 4 -84 = (-8 + 16x) + 4 Reorder the terms: -84 = -8 + 4 + 16x Combine like terms: -8 + 4 = -4 -84 = -4 + 16x Solving -84 = -4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -84 + -16x = -4 + 16x + -16x Combine like terms: 16x + -16x = 0 -84 + -16x = -4 + 0 -84 + -16x = -4 Add '84' to each side of the equation. -84 + 84 + -16x = -4 + 84 Combine like terms: -84 + 84 = 0 0 + -16x = -4 + 84 -16x = -4 + 84 Combine like terms: -4 + 84 = 80 -16x = 80 Divide each side by '-16'. x = -5 Simplifying x = -5
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