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Simplifying 5(x + 3) + 2 = 2x + 11 Reorder the terms: 5(3 + x) + 2 = 2x + 11 (3 * 5 + x * 5) + 2 = 2x + 11 (15 + 5x) + 2 = 2x + 11 Reorder the terms: 15 + 2 + 5x = 2x + 11 Combine like terms: 15 + 2 = 17 17 + 5x = 2x + 11 Reorder the terms: 17 + 5x = 11 + 2x Solving 17 + 5x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 17 + 5x + -2x = 11 + 2x + -2x Combine like terms: 5x + -2x = 3x 17 + 3x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 3x = 11 + 0 17 + 3x = 11 Add '-17' to each side of the equation. 17 + -17 + 3x = 11 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 11 + -17 3x = 11 + -17 Combine like terms: 11 + -17 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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