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Simplifying -4(-4x + -2) + x + 2 = 78 Reorder the terms: -4(-2 + -4x) + x + 2 = 78 (-2 * -4 + -4x * -4) + x + 2 = 78 (8 + 16x) + x + 2 = 78 Reorder the terms: 8 + 2 + 16x + x = 78 Combine like terms: 8 + 2 = 10 10 + 16x + x = 78 Combine like terms: 16x + x = 17x 10 + 17x = 78 Solving 10 + 17x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 17x = 78 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 78 + -10 17x = 78 + -10 Combine like terms: 78 + -10 = 68 17x = 68 Divide each side by '17'. x = 4 Simplifying x = 4
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