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Simplifying 5(x + 2) + 46 = -2x Reorder the terms: 5(2 + x) + 46 = -2x (2 * 5 + x * 5) + 46 = -2x (10 + 5x) + 46 = -2x Reorder the terms: 10 + 46 + 5x = -2x Combine like terms: 10 + 46 = 56 56 + 5x = -2x Solving 56 + 5x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 56 + 5x + 2x = -2x + 2x Combine like terms: 5x + 2x = 7x 56 + 7x = -2x + 2x Combine like terms: -2x + 2x = 0 56 + 7x = 0 Add '-56' to each side of the equation. 56 + -56 + 7x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 7x = 0 + -56 7x = 0 + -56 Combine like terms: 0 + -56 = -56 7x = -56 Divide each side by '7'. x = -8 Simplifying x = -8
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