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Simplifying 3(5x + 1) = -5x + 43 Reorder the terms: 3(1 + 5x) = -5x + 43 (1 * 3 + 5x * 3) = -5x + 43 (3 + 15x) = -5x + 43 Reorder the terms: 3 + 15x = 43 + -5x Solving 3 + 15x = 43 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 15x + 5x = 43 + -5x + 5x Combine like terms: 15x + 5x = 20x 3 + 20x = 43 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 20x = 43 + 0 3 + 20x = 43 Add '-3' to each side of the equation. 3 + -3 + 20x = 43 + -3 Combine like terms: 3 + -3 = 0 0 + 20x = 43 + -3 20x = 43 + -3 Combine like terms: 43 + -3 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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