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Simplifying 10 + 5(x + 1) = 3x + 2 Reorder the terms: 10 + 5(1 + x) = 3x + 2 10 + (1 * 5 + x * 5) = 3x + 2 10 + (5 + 5x) = 3x + 2 Combine like terms: 10 + 5 = 15 15 + 5x = 3x + 2 Reorder the terms: 15 + 5x = 2 + 3x Solving 15 + 5x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 5x + -3x = 2 + 3x + -3x Combine like terms: 5x + -3x = 2x 15 + 2x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 2x = 2 + 0 15 + 2x = 2 Add '-15' to each side of the equation. 15 + -15 + 2x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 2 + -15 2x = 2 + -15 Combine like terms: 2 + -15 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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