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Simplifying -46 + -7 = 7x + 24 Combine like terms: -46 + -7 = -53 -53 = 7x + 24 Reorder the terms: -53 = 24 + 7x Solving -53 = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -53 + -7x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 -53 + -7x = 24 + 0 -53 + -7x = 24 Add '53' to each side of the equation. -53 + 53 + -7x = 24 + 53 Combine like terms: -53 + 53 = 0 0 + -7x = 24 + 53 -7x = 24 + 53 Combine like terms: 24 + 53 = 77 -7x = 77 Divide each side by '-7'. x = -11 Simplifying x = -11
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