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Simplifying 5(x + 1) + -3x = 1 Reorder the terms: 5(1 + x) + -3x = 1 (1 * 5 + x * 5) + -3x = 1 (5 + 5x) + -3x = 1 Combine like terms: 5x + -3x = 2x 5 + 2x = 1 Solving 5 + 2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 1 + -5 2x = 1 + -5 Combine like terms: 1 + -5 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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