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Simplifying -6(-8 + -7x) + 5 = -37 + -3x (-8 * -6 + -7x * -6) + 5 = -37 + -3x (48 + 42x) + 5 = -37 + -3x Reorder the terms: 48 + 5 + 42x = -37 + -3x Combine like terms: 48 + 5 = 53 53 + 42x = -37 + -3x Solving 53 + 42x = -37 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 53 + 42x + 3x = -37 + -3x + 3x Combine like terms: 42x + 3x = 45x 53 + 45x = -37 + -3x + 3x Combine like terms: -3x + 3x = 0 53 + 45x = -37 + 0 53 + 45x = -37 Add '-53' to each side of the equation. 53 + -53 + 45x = -37 + -53 Combine like terms: 53 + -53 = 0 0 + 45x = -37 + -53 45x = -37 + -53 Combine like terms: -37 + -53 = -90 45x = -90 Divide each side by '45'. x = -2 Simplifying x = -2
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