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Simplifying 5(2 + -1x) + 3(3 + 5) = -7x (2 * 5 + -1x * 5) + 3(3 + 5) = -7x (10 + -5x) + 3(3 + 5) = -7x Combine like terms: 3 + 5 = 8 10 + -5x + 3(8) = -7x Multiply 3 * 8 10 + -5x + 24 = -7x Reorder the terms: 10 + 24 + -5x = -7x Combine like terms: 10 + 24 = 34 34 + -5x = -7x Solving 34 + -5x = -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. 34 + -5x + 7x = -7x + 7x Combine like terms: -5x + 7x = 2x 34 + 2x = -7x + 7x Combine like terms: -7x + 7x = 0 34 + 2x = 0 Add '-34' to each side of the equation. 34 + -34 + 2x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 2x = 0 + -34 2x = 0 + -34 Combine like terms: 0 + -34 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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