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Simplifying 5(x + 3) + 34 = -2x Reorder the terms: 5(3 + x) + 34 = -2x (3 * 5 + x * 5) + 34 = -2x (15 + 5x) + 34 = -2x Reorder the terms: 15 + 34 + 5x = -2x Combine like terms: 15 + 34 = 49 49 + 5x = -2x Solving 49 + 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. 49 + 5x + 2x = -2x + 2x Combine like terms: 5x + 2x = 7x 49 + 7x = -2x + 2x Combine like terms: -2x + 2x = 0 49 + 7x = 0 Add '-49' to each side of the equation. 49 + -49 + 7x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 7x = 0 + -49 7x = 0 + -49 Combine like terms: 0 + -49 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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