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Simplifying 5(x + 1) + -3x = 7 Reorder the terms: 5(1 + x) + -3x = 7 (1 * 5 + x * 5) + -3x = 7 (5 + 5x) + -3x = 7 Combine like terms: 5x + -3x = 2x 5 + 2x = 7 Solving 5 + 2x = 7 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 = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 7 + -5 2x = 7 + -5 Combine like terms: 7 + -5 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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