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Simplifying 3(5x + -2) + 50 = 8x + 2 Reorder the terms: 3(-2 + 5x) + 50 = 8x + 2 (-2 * 3 + 5x * 3) + 50 = 8x + 2 (-6 + 15x) + 50 = 8x + 2 Reorder the terms: -6 + 50 + 15x = 8x + 2 Combine like terms: -6 + 50 = 44 44 + 15x = 8x + 2 Reorder the terms: 44 + 15x = 2 + 8x Solving 44 + 15x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 44 + 15x + -8x = 2 + 8x + -8x Combine like terms: 15x + -8x = 7x 44 + 7x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 44 + 7x = 2 + 0 44 + 7x = 2 Add '-44' to each side of the equation. 44 + -44 + 7x = 2 + -44 Combine like terms: 44 + -44 = 0 0 + 7x = 2 + -44 7x = 2 + -44 Combine like terms: 2 + -44 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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