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Simplifying 2(x + 6) + 3x = 2(x + 1) + 1 Reorder the terms: 2(6 + x) + 3x = 2(x + 1) + 1 (6 * 2 + x * 2) + 3x = 2(x + 1) + 1 (12 + 2x) + 3x = 2(x + 1) + 1 Combine like terms: 2x + 3x = 5x 12 + 5x = 2(x + 1) + 1 Reorder the terms: 12 + 5x = 2(1 + x) + 1 12 + 5x = (1 * 2 + x * 2) + 1 12 + 5x = (2 + 2x) + 1 Reorder the terms: 12 + 5x = 2 + 1 + 2x Combine like terms: 2 + 1 = 3 12 + 5x = 3 + 2x Solving 12 + 5x = 3 + 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. 12 + 5x + -2x = 3 + 2x + -2x Combine like terms: 5x + -2x = 3x 12 + 3x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 3x = 3 + 0 12 + 3x = 3 Add '-12' to each side of the equation. 12 + -12 + 3x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 3 + -12 3x = 3 + -12 Combine like terms: 3 + -12 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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