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Simplifying -74 = -1(4x + -8) + 6(1 + 8x) Reorder the terms: -74 = -1(-8 + 4x) + 6(1 + 8x) -74 = (-8 * -1 + 4x * -1) + 6(1 + 8x) -74 = (8 + -4x) + 6(1 + 8x) -74 = 8 + -4x + (1 * 6 + 8x * 6) -74 = 8 + -4x + (6 + 48x) Reorder the terms: -74 = 8 + 6 + -4x + 48x Combine like terms: 8 + 6 = 14 -74 = 14 + -4x + 48x Combine like terms: -4x + 48x = 44x -74 = 14 + 44x Solving -74 = 14 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. -74 + -44x = 14 + 44x + -44x Combine like terms: 44x + -44x = 0 -74 + -44x = 14 + 0 -74 + -44x = 14 Add '74' to each side of the equation. -74 + 74 + -44x = 14 + 74 Combine like terms: -74 + 74 = 0 0 + -44x = 14 + 74 -44x = 14 + 74 Combine like terms: 14 + 74 = 88 -44x = 88 Divide each side by '-44'. x = -2 Simplifying x = -2
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