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Simplifying 2(x + 7) + 5x + 3 = 3(x + 1) + 6 Reorder the terms: 2(7 + x) + 5x + 3 = 3(x + 1) + 6 (7 * 2 + x * 2) + 5x + 3 = 3(x + 1) + 6 (14 + 2x) + 5x + 3 = 3(x + 1) + 6 Reorder the terms: 14 + 3 + 2x + 5x = 3(x + 1) + 6 Combine like terms: 14 + 3 = 17 17 + 2x + 5x = 3(x + 1) + 6 Combine like terms: 2x + 5x = 7x 17 + 7x = 3(x + 1) + 6 Reorder the terms: 17 + 7x = 3(1 + x) + 6 17 + 7x = (1 * 3 + x * 3) + 6 17 + 7x = (3 + 3x) + 6 Reorder the terms: 17 + 7x = 3 + 6 + 3x Combine like terms: 3 + 6 = 9 17 + 7x = 9 + 3x Solving 17 + 7x = 9 + 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. 17 + 7x + -3x = 9 + 3x + -3x Combine like terms: 7x + -3x = 4x 17 + 4x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 4x = 9 + 0 17 + 4x = 9 Add '-17' to each side of the equation. 17 + -17 + 4x = 9 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 9 + -17 4x = 9 + -17 Combine like terms: 9 + -17 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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