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Simplifying -14 = 2(1 + -8x) + 4(x + 5) -14 = (1 * 2 + -8x * 2) + 4(x + 5) -14 = (2 + -16x) + 4(x + 5) Reorder the terms: -14 = 2 + -16x + 4(5 + x) -14 = 2 + -16x + (5 * 4 + x * 4) -14 = 2 + -16x + (20 + 4x) Reorder the terms: -14 = 2 + 20 + -16x + 4x Combine like terms: 2 + 20 = 22 -14 = 22 + -16x + 4x Combine like terms: -16x + 4x = -12x -14 = 22 + -12x Solving -14 = 22 + -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. -14 + 12x = 22 + -12x + 12x Combine like terms: -12x + 12x = 0 -14 + 12x = 22 + 0 -14 + 12x = 22 Add '14' to each side of the equation. -14 + 14 + 12x = 22 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 22 + 14 12x = 22 + 14 Combine like terms: 22 + 14 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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