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Simplifying 2(4x + 1) = -5x + -37 Reorder the terms: 2(1 + 4x) = -5x + -37 (1 * 2 + 4x * 2) = -5x + -37 (2 + 8x) = -5x + -37 Reorder the terms: 2 + 8x = -37 + -5x Solving 2 + 8x = -37 + -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. 2 + 8x + 5x = -37 + -5x + 5x Combine like terms: 8x + 5x = 13x 2 + 13x = -37 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 13x = -37 + 0 2 + 13x = -37 Add '-2' to each side of the equation. 2 + -2 + 13x = -37 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = -37 + -2 13x = -37 + -2 Combine like terms: -37 + -2 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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