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Simplifying 2(x + 8) = -5x + 1 Reorder the terms: 2(8 + x) = -5x + 1 (8 * 2 + x * 2) = -5x + 1 (16 + 2x) = -5x + 1 Reorder the terms: 16 + 2x = 1 + -5x Solving 16 + 2x = 1 + -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. 16 + 2x + 5x = 1 + -5x + 5x Combine like terms: 2x + 5x = 7x 16 + 7x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 16 + 7x = 1 + 0 16 + 7x = 1 Add '-16' to each side of the equation. 16 + -16 + 7x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 1 + -16 7x = 1 + -16 Combine like terms: 1 + -16 = -15 7x = -15 Divide each side by '7'. x = -2.142857143 Simplifying x = -2.142857143
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